57894400 has 60 divisors (see below), whose sum is σ = 143469612. Its totient is φ = 23152640.

The previous prime is 57894377. The next prime is 57894413. The reversal of 57894400 is 449875.

It is a self number, because there is not a number n which added to its sum of digits gives 57894400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10539 + ... + 15061.

Almost surely, 2^57894400 is an apocalyptic number.

57894400 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 57894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71734806).

57894400 is an abundant number, since it is smaller than the sum of its proper divisors (85575212).

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

57894400 is an equidigital number, since it uses as much as digits as its factorization.

57894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 57894400 is about 7608.8369676318. The cubic root of 57894400 is about 386.8525991764.

The spelling of 57894400 in words is "fifty-seven million, eight hundred ninety-four thousand, four hundred".