456465440 has 48 divisors (see below), whose sum is σ = 1096101720. Its totient is φ = 179589120.

The previous prime is 456465433. The next prime is 456465463. The reversal of 456465440 is 44564654.

It can be written as a sum of positive squares in 4 ways, for example, as 168688144 + 287777296 = 12988^2 + 16964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 456465394 and 456465403.

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, 13625 + ... + 33144.

Almost surely, 2^456465440 is an apocalyptic number.

456465440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456465440 is an abundant number, since it is smaller than the sum of its proper divisors (639636280).

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

456465440 is a wasteful number, since it uses less digits than its factorization.

456465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46845 (or 46837 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The square root of 456465440 is about 21365.0518370539. The cubic root of 456465440 is about 769.9620153298.

The spelling of 456465440 in words is "four hundred fifty-six million, four hundred sixty-five thousand, four hundred forty".