456976512 has 128 divisors (see below), whose sum is σ = 1407600000. Its totient is φ = 145677312.

The previous prime is 456976469. The next prime is 456976517. The reversal of 456976512 is 215679654.

456976512 is a `hidden beast` number, since 4 + 5 + 69 + 76 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×456976512² = 417655065039372288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456976517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76614 + ... + 82362.

It is an arithmetic number, because the mean of its divisors is an integer number (10996875).

Almost surely, 2^456976512 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 456976512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703800000).

456976512 is an abundant number, since it is smaller than the sum of its proper divisors (950623488).

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

456976512 is a wasteful number, since it uses less digits than its factorization.

456976512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795 (or 5777 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 456976512 is about 21377.0089582243. The cubic root of 456976512 is about 770.2492654504.

The spelling of 456976512 in words is "four hundred fifty-six million, nine hundred seventy-six thousand, five hundred twelve".