456372048 has 40 divisors (see below), whose sum is σ = 1286140896. Its totient is φ = 138294400.

The previous prime is 456372047. The next prime is 456372053. The reversal of 456372048 is 840273654.

It is a happy number.

It is a Smith number, since the sum of its digits (39) 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 = 456371997 and 456372015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456372047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431643 + ... + 432698.

Almost surely, 2^456372048 is an apocalyptic number.

456372048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

456372048 is an abundant number, since it is smaller than the sum of its proper divisors (829768848).

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

456372048 is a wasteful number, since it uses less digits than its factorization.

456372048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864363 (or 864357 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 456372048 is about 21362.8660998472. The cubic root of 456372048 is about 769.9095008049.

The spelling of 456372048 in words is "four hundred fifty-six million, three hundred seventy-two thousand, forty-eight".