456500432 has 20 divisors (see below), whose sum is σ = 887671236. Its totient is φ = 227424000.

The previous prime is 456500431. The next prime is 456500449. The reversal of 456500432 is 234005654.

It can be written as a sum of positive squares in 2 ways, for example, as 47004736 + 409495696 = 6856^2 + 20236^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 456500395 and 456500404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456500431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47069 + ... + 55932.

Almost surely, 2^456500432 is an apocalyptic number.

It is an amenable number.

456500432 is a deficient number, since it is larger than the sum of its proper divisors (431170804).

456500432 is a wasteful number, since it uses less digits than its factorization.

456500432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103286 (or 103280 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 456500432 is about 21365.8707288049. The cubic root of 456500432 is about 769.9816895629.

The spelling of 456500432 in words is "four hundred fifty-six million, five hundred thousand, four hundred thirty-two".