456496400 has 30 divisors (see below), whose sum is σ = 1096733562. Its totient is φ = 182598400.

The previous prime is 456496379. The next prime is 456496429. The reversal of 456496400 is 4694654.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 38539264 + 417957136 = 6208^2 + 20444^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 570221 + ... + 571020.

Almost surely, 2^456496400 is an apocalyptic number.

456496400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456496400 is an abundant number, since it is smaller than the sum of its proper divisors (640237162).

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

456496400 is a wasteful number, since it uses less digits than its factorization.

456496400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141259 (or 1141248 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 456496400 is about 21365.7763725075. The cubic root of 456496400 is about 769.9794226243.

The spelling of 456496400 in words is "four hundred fifty-six million, four hundred ninety-six thousand, four hundred".