460304252928 has 512 divisors, whose sum is σ = 1517308262400. Its totient is φ = 136957132800.

The previous prime is 460304252909. The next prime is 460304252929. The reversal of 460304252928 is 829252403064.

460304252928 is a `hidden beast` number, since 4 + 6 + 0 + 304 + 252 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460304252929) 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, 356547963 + ... + 356549253.

It is an arithmetic number, because the mean of its divisors is an integer number (2963492700).

Almost surely, 2^460304252928 is an apocalyptic number.

460304252928 is a gapful number since it is divisible by the number (48) 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 460304252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758654131200).

460304252928 is an abundant number, since it is smaller than the sum of its proper divisors (1057004009472).

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

460304252928 is a wasteful number, since it uses less digits than its factorization.

460304252928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 460304252928 in words is "four hundred sixty billion, three hundred four million, two hundred fifty-two thousand, nine hundred twenty-eight".