456454560 has 48 divisors (see below), whose sum is σ = 1437833376. Its totient is φ = 121721088.

The previous prime is 456454547. The next prime is 456454597. The reversal of 456454560 is 65454654.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474994 + ... + 475953.

It is an arithmetic number, because the mean of its divisors is an integer number (29954862).

Almost surely, 2^456454560 is an apocalyptic number.

456454560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456454560 is an abundant number, since it is smaller than the sum of its proper divisors (981378816).

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

456454560 is a wasteful number, since it uses less digits than its factorization.

456454560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950965 (or 950957 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 456454560 is about 21364.7972141090. The cubic root of 456454560 is about 769.9558978508.

It can be divided in two parts, 45645 and 4560, that added together give a palindrome (50205).

The spelling of 456454560 in words is "four hundred fifty-six million, four hundred fifty-four thousand, five hundred sixty".