57258240 has 288 divisors, whose sum is σ = 208782336. Its totient is φ = 13271040.

The previous prime is 57258233. The next prime is 57258259. The reversal of 57258240 is 4285275.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 962 × 62 × 960.

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, 1547502 + ... + 1547538.

Almost surely, 2^57258240 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 57258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104391168).

57258240 is an abundant number, since it is smaller than the sum of its proper divisors (151524096).

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

57258240 is a wasteful number, since it uses less digits than its factorization.

57258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 57258240 is about 7566.9174701460. The cubic root of 57258240 is about 385.4304288179.

The spelling of 57258240 in words is "fifty-seven million, two hundred fifty-eight thousand, two hundred forty".