57480600 has 48 divisors (see below), whose sum is σ = 178191720. Its totient is φ = 15328000.

The previous prime is 57480589. The next prime is 57480601. The reversal of 57480600 is 608475.

It is a happy number.

57480600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57480601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47301 + ... + 48500.

Almost surely, 2^57480600 is an apocalyptic number.

57480600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57480600 is an abundant number, since it is smaller than the sum of its proper divisors (120711120).

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

57480600 is a wasteful number, since it uses less digits than its factorization.

57480600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95820 (or 95811 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 57480600 is about 7581.5961380174. The cubic root of 57480600 is about 385.9287187051.

The spelling of 57480600 in words is "fifty-seven million, four hundred eighty thousand, six hundred".