57378240 has 224 divisors, whose sum is σ = 210312000. Its totient is φ = 14708736.

The previous prime is 57378199. The next prime is 57378257. The reversal of 57378240 is 4287375.

57378240 is a `hidden beast` number, since 573 + 7 + 82 + 4 + 0 = 666.

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 = 57378195 and 57378204.

It is a congruent number.

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, 250446 + ... + 250674.

Almost surely, 2^57378240 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 57378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105156000).

57378240 is an abundant number, since it is smaller than the sum of its proper divisors (152933760).

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

57378240 is a wasteful number, since it uses less digits than its factorization.

57378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 57378240 is about 7574.8425726216. The cubic root of 57378240 is about 385.6994985513.

The spelling of 57378240 in words is "fifty-seven million, three hundred seventy-eight thousand, two hundred forty".