57314400 has 288 divisors, whose sum is σ = 220485888. Its totient is φ = 12748800.

The previous prime is 57314377. The next prime is 57314407. The reversal of 57314400 is 441375.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57314407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 343117 + ... + 343283.

It is an arithmetic number, because the mean of its divisors is an integer number (765576).

Almost surely, 2^57314400 is an apocalyptic number.

57314400 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 57314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110242944).

57314400 is an abundant number, since it is smaller than the sum of its proper divisors (163171488).

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

57314400 is a wasteful number, since it uses less digits than its factorization.

57314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 57314400 is about 7570.6274508788. The cubic root of 57314400 is about 385.5564002057.

Adding to 57314400 its reverse (441375), we get a palindrome (57755775).

The spelling of 57314400 in words is "fifty-seven million, three hundred fourteen thousand, four hundred".