457283360 has 48 divisors (see below), whose sum is σ = 1084539456. Its totient is φ = 182201088.

The previous prime is 457283341. The next prime is 457283399. The reversal of 457283360 is 63382754.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36647 + ... + 47513.

It is an arithmetic number, because the mean of its divisors is an integer number (22594572).

Almost surely, 2^457283360 is an apocalyptic number.

457283360 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 457283360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542269728).

457283360 is an abundant number, since it is smaller than the sum of its proper divisors (627256096).

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

457283360 is a wasteful number, since it uses less digits than its factorization.

457283360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11145 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 457283360 is about 21384.1848102751. The cubic root of 457283360 is about 770.4216277486.

The spelling of 457283360 in words is "four hundred fifty-seven million, two hundred eighty-three thousand, three hundred sixty".