460257464520 has 1152 divisors, whose sum is σ = 1916766633600. Its totient is φ = 98761420800.

The previous prime is 460257464509. The next prime is 460257464549. The reversal of 460257464520 is 25464752064.

460257464520 is a `hidden beast` number, since 4 + 60 + 2 + 5 + 7 + 4 + 64 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1637926780 + ... + 1637927060.

It is an arithmetic number, because the mean of its divisors is an integer number (1663859925).

Almost surely, 2^460257464520 is an apocalyptic number.

460257464520 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 460257464520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958383316800).

460257464520 is an abundant number, since it is smaller than the sum of its proper divisors (1456509169080).

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

460257464520 is a wasteful number, since it uses less digits than its factorization.

460257464520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 460257464520 in words is "four hundred sixty billion, two hundred fifty-seven million, four hundred sixty-four thousand, five hundred twenty".