460900815275520 has 1200 divisors, whose sum is σ = 1756013000974848. Its totient is φ = 115518882447360.

The previous prime is 460900815275497. The next prime is 460900815275521. The reversal of 460900815275520 is 25572518009064.

460900815275520 is a `hidden beast` number, since 4 + 6 + 0 + 9 + 0 + 0 + 81 + 5 + 2 + 7 + 552 + 0 = 666.

It is a super-2 number, since 2×460900815275520² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460900815275521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9506809680 + ... + 9506858160.

Almost surely, 2^{460900815275520} is an apocalyptic number.

460900815275520 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 460900815275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878006500487424).

460900815275520 is an abundant number, since it is smaller than the sum of its proper divisors (1295112185699328).

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

460900815275520 is a wasteful number, since it uses less digits than its factorization.

460900815275520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48681 (or 48637 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 460900815275520 in words is "four hundred sixty trillion, nine hundred billion, eight hundred fifteen million, two hundred seventy-five thousand, five hundred twenty".