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472614480 = 243351316831
BaseRepresentation
bin11100001010111…
…000011001010000
31012221022022012000
4130022320121100
51431442130410
6114521434000
714466104532
oct3412703120
91187268160
10472614480
11222862288
1211233b900
1376bb7150
1446aa7852
152b758dc0
hex1c2b8650

472614480 has 160 divisors (see below), whose sum is σ = 1753221120. Its totient is φ = 116328960.

The previous prime is 472614463. The next prime is 472614487. The reversal of 472614480 is 84416274.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472614487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19665 + ... + 36495.

It is an arithmetic number, because the mean of its divisors is an integer number (10957632).

Almost surely, 2472614480 is an apocalyptic number.

472614480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472614480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876610560).

472614480 is an abundant number, since it is smaller than the sum of its proper divisors (1280606640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

472614480 is a wasteful number, since it uses less digits than its factorization.

472614480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16866 (or 16854 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 472614480 is about 21739.6982499758. The cubic root of 472614480 is about 778.9370135553.

The spelling of 472614480 in words is "four hundred seventy-two million, six hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 16831 28080 33662 50493 67324 84155 100986 134648 151479 168310 201972 218803 252465 269296 302958 336620 403944 437606 454437 504930 605916 656409 673240 757395 807888 875212 908874 1009860 1094015 1211832 1312818 1346480 1514790 1750424 1817748 1969227 2019720 2188030 2272185 2423664 2625636 3029580 3282045 3500848 3635496 3938454 4039440 4376060 4544370 5251272 5907681 6059160 6564090 7270992 7876908 8752120 9088740 9846135 10502544 11815362 12118320 13128180 15753816 17504240 18177480 19692270 23630724 26256360 29538405 31507632 36354960 39384540 47261448 52512720 59076810 78769080 94522896 118153620 157538160 236307240 472614480