57338460 has 72 divisors (see below), whose sum is σ = 175528080. Its totient is φ = 15149568.

The previous prime is 57338453. The next prime is 57338483. The reversal of 57338460 is 6483375.

It is a happy number.

57338460 is a `hidden beast` number, since 573 + 3 + 84 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 18931 + ... + 21749.

It is an arithmetic number, because the mean of its divisors is an integer number (2437890).

Almost surely, 2^57338460 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 57338460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87764040).

57338460 is an abundant number, since it is smaller than the sum of its proper divisors (118189620).

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

57338460 is a wasteful number, since it uses less digits than its factorization.

57338460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 57338460 is about 7572.2163202064. The cubic root of 57338460 is about 385.6103435384.

The spelling of 57338460 in words is "fifty-seven million, three hundred thirty-eight thousand, four hundred sixty".