456752385024 has 176 divisors, whose sum is σ = 1353354562560. Its totient is φ = 136005304320.

The previous prime is 456752385017. The next prime is 456752385031. The reversal of 456752385024 is 420583257654.

It is an interprime number because it is at equal distance from previous prime (456752385017) and next prime (456752385031).

It is a super-2 number, since 2×456752385024² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053547 + ... + 1422485.

It is an arithmetic number, because the mean of its divisors is an integer number (7689514560).

Almost surely, 2^456752385024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456752385024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676677281280).

456752385024 is an abundant number, since it is smaller than the sum of its proper divisors (896602177536).

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

456752385024 is a wasteful number, since it uses less digits than its factorization.

456752385024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369006 (or 368988 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 51.

The spelling of 456752385024 in words is "four hundred fifty-six billion, seven hundred fifty-two million, three hundred eighty-five thousand, twenty-four".