57460 has 36 divisors (see below), whose sum is σ = 138348. Its totient is φ = 19968.

The previous prime is 57457. The next prime is 57467. The reversal of 57460 is 6475.

It can be written as a sum of positive squares in 6 ways, for example, as 5476 + 51984 = 74^2 + 228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3372 + ... + 3388.

It is an arithmetic number, because the mean of its divisors is an integer number (3843).

2⁵⁷⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69174).

57460 is an abundant number, since it is smaller than the sum of its proper divisors (80888).

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

57460 is a wasteful number, since it uses less digits than its factorization.

57460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 57460 is about 239.7081558896. The cubic root of 57460 is about 38.5882609922.

The spelling of 57460 in words is "fifty-seven thousand, four hundred sixty".