457478500 has 96 divisors (see below), whose sum is σ = 1069915392. Its totient is φ = 170278400.

The previous prime is 457478477. The next prime is 457478537. The reversal of 457478500 is 5874754.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909249 + ... + 909751.

It is an arithmetic number, because the mean of its divisors is an integer number (11144952).

Almost surely, 2^457478500 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 457478500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534957696).

457478500 is an abundant number, since it is smaller than the sum of its proper divisors (612436892).

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

457478500 is a wasteful number, since it uses less digits than its factorization.

457478500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The square root of 457478500 is about 21388.7470413767. The cubic root of 457478500 is about 770.5312014538.

The spelling of 457478500 in words is "four hundred fifty-seven million, four hundred seventy-eight thousand, five hundred".