457904128 has 52 divisors (see below), whose sum is σ = 999039888. Its totient is φ = 208117760.

The previous prime is 457904099. The next prime is 457904143. The reversal of 457904128 is 821409754.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39975 + ... + 50137.

Almost surely, 2^457904128 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 457904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499519944).

457904128 is an abundant number, since it is smaller than the sum of its proper divisors (541135760).

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

457904128 is a wasteful number, since it uses less digits than its factorization.

457904128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10198 (or 10176 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 457904128 is about 21398.6945396209. The cubic root of 457904128 is about 770.7700891814.

The spelling of 457904128 in words is "four hundred fifty-seven million, nine hundred four thousand, one hundred twenty-eight".