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469004480 = 265734273
BaseRepresentation
bin11011111101000…
…111000011000000
31012200111220012022
4123331013003000
51430031120410
6114312221012
714423321000
oct3375070300
91180456168
10469004480
1122081700a
1211109a768
1376221c59
1446408000
152b294455
hex1bf470c0

469004480 has 112 divisors (see below), whose sum is σ = 1302715200. Its totient is φ = 160763904.

The previous prime is 469004441. The next prime is 469004491. The reversal of 469004480 is 84400964.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 469004480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107624 + ... + 111896.

Almost surely, 2469004480 is an apocalyptic number.

469004480 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 469004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651357600).

469004480 is an abundant number, since it is smaller than the sum of its proper divisors (833710720).

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

469004480 is an equidigital number, since it uses as much as digits as its factorization.

469004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 469004480 is about 21656.5112610503. The cubic root of 469004480 is about 776.9486750179.

The spelling of 469004480 in words is "four hundred sixty-nine million, four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 343 392 448 490 560 686 784 980 1120 1372 1568 1715 1960 2240 2744 3136 3430 3920 4273 5488 6860 7840 8546 10976 13720 15680 17092 21365 21952 27440 29911 34184 42730 54880 59822 68368 85460 109760 119644 136736 149555 170920 209377 239288 273472 299110 341840 418754 478576 598220 683680 837508 957152 1046885 1196440 1367360 1465639 1675016 1914304 2093770 2392880 2931278 3350032 4187540 4785760 5862556 6700064 7328195 8375080 9571520 11725112 13400128 14656390 16750160 23450224 29312780 33500320 46900448 58625560 67000640 93800896 117251120 234502240 469004480