456538278504 has 384 divisors, whose sum is σ = 1481169715200. Its totient is φ = 114698073600.

The previous prime is 456538278473. The next prime is 456538278557. The reversal of 456538278504 is 405872835654.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 134630649 + ... + 134634039.

It is an arithmetic number, because the mean of its divisors is an integer number (3857212800).

Almost surely, 2^456538278504 is an apocalyptic number.

456538278504 is a gapful number since it is divisible by the number (44) 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 456538278504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740584857600).

456538278504 is an abundant number, since it is smaller than the sum of its proper divisors (1024631436696).

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

456538278504 is a wasteful number, since it uses less digits than its factorization.

456538278504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 57.

The spelling of 456538278504 in words is "four hundred fifty-six billion, five hundred thirty-eight million, two hundred seventy-eight thousand, five hundred four".