456976716000 has 384 divisors, whose sum is σ = 1736478342144. Its totient is φ = 102891571200.

The previous prime is 456976715989. The next prime is 456976716011. The reversal of 456976716000 is 617679654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (456976715989) and next prime (456976716011).

It is a super-2 number, since 2×456976716000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5587402 + ... + 5668598.

It is an arithmetic number, because the mean of its divisors is an integer number (4522079016).

Almost surely, 2^456976716000 is an apocalyptic number.

456976716000 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 456976716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868239171072).

456976716000 is an abundant number, since it is smaller than the sum of its proper divisors (1279501626144).

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

456976716000 is a wasteful number, since it uses less digits than its factorization.

456976716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81299 (or 81281 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 456976716000 in words is "four hundred fifty-six billion, nine hundred seventy-six million, seven hundred sixteen thousand".