457403904 has 120 divisors (see below), whose sum is σ = 1397990880. Its totient is φ = 143474688.

The previous prime is 457403899. The next prime is 457403927. The reversal of 457403904 is 409304754.

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

It is a congruent number.

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, 75417 + ... + 81255.

It is an arithmetic number, because the mean of its divisors is an integer number (11649924).

Almost surely, 2^457403904 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 457403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698995440).

457403904 is an abundant number, since it is smaller than the sum of its proper divisors (940586976).

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

457403904 is a wasteful number, since it uses less digits than its factorization.

457403904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 457403904 is about 21387.0031561226. The cubic root of 457403904 is about 770.4893184874.

The spelling of 457403904 in words is "four hundred fifty-seven million, four hundred three thousand, nine hundred four".