57435840 has 504 divisors, whose sum is σ = 257476752. Its totient is φ = 11612160.

The previous prime is 57435823. The next prime is 57435857. The reversal of 57435840 is 4853475.

57435840 is a `hidden beast` number, since 5 + 74 + 3 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57435823) and next prime (57435857).

It is a tau number, because it is divible by the number of its divisors (504).

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 = 57435795 and 57435804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1552302 + ... + 1552338.

Almost surely, 2^57435840 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 57435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128738376).

57435840 is an abundant number, since it is smaller than the sum of its proper divisors (200040912).

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

57435840 is a wasteful number, since it uses less digits than its factorization.

57435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

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

The square root of 57435840 is about 7578.6436781261. The cubic root of 57435840 is about 385.8285187815.

The spelling of 57435840 in words is "fifty-seven million, four hundred thirty-five thousand, eight hundred forty".