57456300 has 144 divisors (see below), whose sum is σ = 189487872. Its totient is φ = 13305600.

The previous prime is 57456283. The next prime is 57456331. The reversal of 57456300 is 365475.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75522 + ... + 76278.

It is an arithmetic number, because the mean of its divisors is an integer number (1315888).

Almost surely, 2^57456300 is an apocalyptic number.

57456300 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 57456300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94743936).

57456300 is an abundant number, since it is smaller than the sum of its proper divisors (132031572).

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

57456300 is a wasteful number, since it uses less digits than its factorization.

57456300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 57456300 is about 7579.9934036911. The cubic root of 57456300 is about 385.8743270801.

The spelling of 57456300 in words is "fifty-seven million, four hundred fifty-six thousand, three hundred".