457960000 has 105 divisors (see below), whose sum is σ = 1146304159. Its totient is φ = 181472000.

The previous prime is 457959977. The next prime is 457960033. The reversal of 457960000 is 69754.

The square root of 457960000 is 21400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 35904064 + 422055936 = 5992^2 + 20544^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4279947 + ... + 4280053.

Almost surely, 2^457960000 is an apocalyptic number.

457960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

457960000 is the 21400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457960000

457960000 is an abundant number, since it is smaller than the sum of its proper divisors (688344159).

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

457960000 is an frugal number, since it uses more digits than its factorization.

457960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The cubic root of 457960000 is about 770.8014368751.

The spelling of 457960000 in words is "four hundred fifty-seven million, nine hundred sixty thousand".