457257360 has 160 divisors (see below), whose sum is σ = 1654751232. Its totient is φ = 102274560.

The previous prime is 457257329. The next prime is 457257389. The reversal of 457257360 is 63752754.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76065 + ... + 81855.

Almost surely, 2^457257360 is an apocalyptic number.

457257360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457257360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827375616).

457257360 is an abundant number, since it is smaller than the sum of its proper divisors (1197493872).

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

457257360 is a wasteful number, since it uses less digits than its factorization.

457257360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The square root of 457257360 is about 21383.5768757240. The cubic root of 457257360 is about 770.4070260496.

The spelling of 457257360 in words is "four hundred fifty-seven million, two hundred fifty-seven thousand, three hundred sixty".