57366400 has 192 divisors, whose sum is σ = 175301280. Its totient is φ = 18063360.

The previous prime is 57366359. The next prime is 57366427. The reversal of 57366400 is 466375.

57366400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291102 + ... + 291298.

Almost surely, 2^57366400 is an apocalyptic number.

57366400 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 57366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87650640).

57366400 is an abundant number, since it is smaller than the sum of its proper divisors (117934880).

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

57366400 is a wasteful number, since it uses less digits than its factorization.

57366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 57366400 is about 7574.0609979059. The cubic root of 57366400 is about 385.6729670287.

The spelling of 57366400 in words is "fifty-seven million, three hundred sixty-six thousand, four hundred".