57945300 has 144 divisors (see below), whose sum is σ = 196570752. Its totient is φ = 12902400.

The previous prime is 57945289. The next prime is 57945323. The reversal of 57945300 is 354975.

57945300 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 47 ways as a sum of consecutive naturals, for example, 85764 + ... + 86436.

Almost surely, 2^57945300 is an apocalyptic number.

57945300 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 57945300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98285376).

57945300 is an abundant number, since it is smaller than the sum of its proper divisors (138625452).

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

57945300 is a wasteful number, since it uses less digits than its factorization.

57945300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 57945300 is about 7612.1810278001. The cubic root of 57945300 is about 386.9659378844.

The spelling of 57945300 in words is "fifty-seven million, nine hundred forty-five thousand, three hundred".