456628896 has 72 divisors (see below), whose sum is σ = 1343340180. Its totient is φ = 146958336.

The previous prime is 456628889. The next prime is 456628897. The reversal of 456628896 is 698826654.

It is a happy number.

456628896 is a `hidden beast` number, since 4 + 5 + 6 + 628 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 439489296 + 17139600 = 20964^2 + 4140^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (456628897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18985 + ... + 35688.

Almost surely, 2^456628896 is an apocalyptic number.

It is an amenable number.

456628896 is an abundant number, since it is smaller than the sum of its proper divisors (886711284).

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

456628896 is a wasteful number, since it uses less digits than its factorization.

456628896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54718 (or 54707 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 456628896 is about 21368.8768071698. The cubic root of 456628896 is about 770.0539097579.

The spelling of 456628896 in words is "four hundred fifty-six million, six hundred twenty-eight thousand, eight hundred ninety-six".