57630300 has 144 divisors (see below), whose sum is σ = 205320192. Its totient is φ = 12153600.

The previous prime is 57630281. The next prime is 57630311. The reversal of 57630300 is 303675.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26245 + ... + 28355.

Almost surely, 2^57630300 is an apocalyptic number.

57630300 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 57630300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102660096).

57630300 is an abundant number, since it is smaller than the sum of its proper divisors (147689892).

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

57630300 is a wasteful number, since it uses less digits than its factorization.

57630300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 57630300 is about 7591.4623097266. The cubic root of 57630300 is about 386.2634603242.

Adding to 57630300 its reverse (303675), we get a palindrome (57933975).

It can be divided in two parts, 576 and 30300, that added together give a triangular number (30876 = T₂₄₈).

The spelling of 57630300 in words is "fifty-seven million, six hundred thirty thousand, three hundred".