57853440 has 280 divisors, whose sum is σ = 214682688. Its totient is φ = 14929920.

The previous prime is 57853429. The next prime is 57853483. The reversal of 57853440 is 4435875.

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

It is a junction number, because it is equal to n+sod(n) for n = 57853395 and 57853404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1866225 + ... + 1866255.

Almost surely, 2^57853440 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 57853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107341344).

57853440 is an abundant number, since it is smaller than the sum of its proper divisors (156829248).

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

57853440 is an frugal number, since it uses more digits than its factorization.

57853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 57853440 is about 7606.1448842367. The cubic root of 57853440 is about 386.7613455560.

The spelling of 57853440 in words is "fifty-seven million, eight hundred fifty-three thousand, four hundred forty".