456996672 has 252 divisors, whose sum is σ = 1475597760. Its totient is φ = 135083520.

The previous prime is 456996649. The next prime is 456996691. The reversal of 456996672 is 276699654.

456996672 is a `hidden beast` number, since 4 + 569 + 9 + 6 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5505943 + ... + 5506025.

Almost surely, 2^456996672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737798880).

456996672 is an abundant number, since it is smaller than the sum of its proper divisors (1018601088).

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

456996672 is a wasteful number, since it uses less digits than its factorization.

456996672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 456996672 is about 21377.4804876534. The cubic root of 456996672 is about 770.2605920697.

The spelling of 456996672 in words is "four hundred fifty-six million, nine hundred ninety-six thousand, six hundred seventy-two".