457560 has 96 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 115200.

The previous prime is 457559. The next prime is 457571. The reversal of 457560 is 65754.

It is a super-2 number, since 2×457560² = 418722307200, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 457560.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11140 + ... + 11180.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2⁴⁵⁷⁵⁶⁰ is an apocalyptic number.

457560 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 457560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

457560 is an abundant number, since it is smaller than the sum of its proper divisors (1114920).

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

457560 is a wasteful number, since it uses less digits than its factorization.

457560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 457560 is about 676.4318147456. The cubic root of 457560 is about 77.0576955563.

The spelling of 457560 in words is "four hundred fifty-seven thousand, five hundred sixty".