57364400 has 60 divisors (see below), whose sum is σ = 140136864. Its totient is φ = 22560000.

The previous prime is 57364399. The next prime is 57364403. The reversal of 57364400 is 446375.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (57364403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23225 + ... + 25575.

Almost surely, 2^57364400 is an apocalyptic number.

57364400 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 57364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70068432).

57364400 is an abundant number, since it is smaller than the sum of its proper divisors (82772464).

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

57364400 is a wasteful number, since it uses less digits than its factorization.

57364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 57364400 is about 7573.9289671874. The cubic root of 57364400 is about 385.6684849922.

The spelling of 57364400 in words is "fifty-seven million, three hundred sixty-four thousand, four hundred".