456800472 has 80 divisors (see below), whose sum is σ = 1354759560. Its totient is φ = 143306496.

The previous prime is 456800471. The next prime is 456800497. The reversal of 456800472 is 274008654.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456800471) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9718 + ... + 31749.

Almost surely, 2^456800472 is an apocalyptic number.

It is an amenable number.

456800472 is an abundant number, since it is smaller than the sum of its proper divisors (897959088).

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

456800472 is a wasteful number, since it uses less digits than its factorization.

456800472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41502 (or 41489 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 456800472 is about 21372.8910538561. The cubic root of 456800472 is about 770.1503456355.

The spelling of 456800472 in words is "four hundred fifty-six million, eight hundred thousand, four hundred seventy-two".