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497460480 = 28351111777
BaseRepresentation
bin11101101001101…
…010010100000000
31021200001121111020
4131221222110000
52004322213410
6121210145440
715220226046
oct3551522400
91250047436
10497460480
11235892470
1211a722280
137c0a621a
144a0d4396
152da15a70
hex1da6a500

497460480 has 144 divisors (see below), whose sum is σ = 1733344704. Its totient is φ = 120586240.

The previous prime is 497460437. The next prime is 497460487. The reversal of 497460480 is 84064794.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497460487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36352 + ... + 48128.

It is an arithmetic number, because the mean of its divisors is an integer number (12037116).

Almost surely, 2497460480 is an apocalyptic number.

497460480 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 497460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866672352).

497460480 is an abundant number, since it is smaller than the sum of its proper divisors (1235884224).

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

497460480 is a wasteful number, since it uses less digits than its factorization.

497460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11812 (or 11798 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 497460480 is about 22303.8220939820. The cubic root of 497460480 is about 792.3544989907.

The spelling of 497460480 in words is "four hundred ninety-seven million, four hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 11777 14080 21120 23554 35331 42240 47108 58885 70662 94216 117770 129547 141324 176655 188432 235540 259094 282648 353310 376864 388641 471080 518188 565296 647735 706620 753728 777282 942160 1036376 1130592 1295470 1413240 1507456 1554564 1884320 1943205 2072752 2261184 2590940 2826480 3014912 3109128 3768640 3886410 4145504 4522368 5181880 5652960 6218256 7537280 7772820 8291008 9044736 10363760 11305920 12436512 15074560 15545640 16582016 20727520 22611840 24873024 31091280 33164032 41455040 45223680 49746048 62182560 82910080 99492096 124365120 165820160 248730240 497460480