57384000 has 168 divisors, whose sum is σ = 205529688. Its totient is φ = 15283200.

The previous prime is 57383983. The next prime is 57384013. The reversal of 57384000 is 48375.

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 54641664 = 1656^2 + 7392^2 .

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, 71602 + ... + 72398.

It is an arithmetic number, because the mean of its divisors is an integer number (1223391).

Almost surely, 2^57384000 is an apocalyptic number.

57384000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102764844).

57384000 is an abundant number, since it is smaller than the sum of its proper divisors (148145688).

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

57384000 is a wasteful number, since it uses less digits than its factorization.

57384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57384000 is about 7575.2227690016. Note that the first 3 decimals coincide. The cubic root of 57384000 is about 385.7124044588.

The spelling of 57384000 in words is "fifty-seven million, three hundred eighty-four thousand".