457720992 has 72 divisors (see below), whose sum is σ = 1306809504. Its totient is φ = 151968384.

The previous prime is 457720987. The next prime is 457721021. The reversal of 457720992 is 299027754.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72723 + ... + 78765.

It is an arithmetic number, because the mean of its divisors is an integer number (18150132).

Almost surely, 2^457720992 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 457720992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653404752).

457720992 is an abundant number, since it is smaller than the sum of its proper divisors (849088512).

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

457720992 is a wasteful number, since it uses less digits than its factorization.

457720992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6322 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 457720992 is about 21394.4149721370. The cubic root of 457720992 is about 770.6673205270.

The spelling of 457720992 in words is "four hundred fifty-seven million, seven hundred twenty thousand, nine hundred ninety-two".