57436800 has 192 divisors, whose sum is σ = 196296960. Its totient is φ = 14745600.

The previous prime is 57436783. The next prime is 57436801. The reversal of 57436800 is 863475.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (57436801) 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 23 ways as a sum of consecutive naturals, for example, 297504 + ... + 297696.

It is an arithmetic number, because the mean of its divisors is an integer number (1022380).

Almost surely, 2^57436800 is an apocalyptic number.

57436800 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 57436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98148480).

57436800 is an abundant number, since it is smaller than the sum of its proper divisors (138860160).

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

57436800 is a wasteful number, since it uses less digits than its factorization.

57436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 57436800 is about 7578.7070137326. The cubic root of 57436800 is about 385.8306683877.

The spelling of 57436800 in words is "fifty-seven million, four hundred thirty-six thousand, eight hundred".