456555264 has 216 divisors, whose sum is σ = 1419067440. Its totient is φ = 130211840.

The previous prime is 456555263. The next prime is 456555277. The reversal of 456555264 is 462555654.

It is a happy number.

It is a super-2 number, since 2×456555264² = 416885418172219392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456555263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26856184 + ... + 26856200.

Almost surely, 2^456555264 is an apocalyptic number.

456555264 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 456555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709533720).

456555264 is an abundant number, since it is smaller than the sum of its proper divisors (962512176).

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

456555264 is an equidigital number, since it uses as much as digits as its factorization.

456555264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 33 counting only the distinct ones).

The product of its digits is 720000, while the sum is 42.

The square root of 456555264 is about 21367.1538582002. The cubic root of 456555264 is about 770.0125168033.

The spelling of 456555264 in words is "four hundred fifty-six million, five hundred fifty-five thousand, two hundred sixty-four".