457505360 has 160 divisors (see below), whose sum is σ = 1228983840. Its totient is φ = 156893184.

The previous prime is 457505341. The next prime is 457505393. The reversal of 457505360 is 63505754.

It can be written as a sum of positive squares in 16 ways, for example, as 136235584 + 321269776 = 11672^2 + 17924^2 .

It is a super-2 number, since 2×457505360² = 418622308857459200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 457505360.

It is a congruent number.

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, 1997726 + ... + 1997954.

It is an arithmetic number, because the mean of its divisors is an integer number (7681149).

Almost surely, 2^457505360 is an apocalyptic number.

457505360 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 457505360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614491920).

457505360 is an abundant number, since it is smaller than the sum of its proper divisors (771478480).

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

457505360 is a wasteful number, since it uses less digits than its factorization.

457505360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 35.

The square root of 457505360 is about 21389.3749324285. The cubic root of 457505360 is about 770.5462812612.

The spelling of 457505360 in words is "four hundred fifty-seven million, five hundred five thousand, three hundred sixty".