57405300 has 72 divisors (see below), whose sum is σ = 167176800. Its totient is φ = 15208320.

The previous prime is 57405253. The next prime is 57405347. The reversal of 57405300 is 350475.

It is an interprime number because it is at equal distance from previous prime (57405253) and next prime (57405347).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53166 + ... + 54234.

It is an arithmetic number, because the mean of its divisors is an integer number (2321900).

Almost surely, 2^57405300 is an apocalyptic number.

57405300 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 57405300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83588400).

57405300 is an abundant number, since it is smaller than the sum of its proper divisors (109771500).

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

57405300 is a wasteful number, since it uses less digits than its factorization.

57405300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 57405300 is about 7576.6285378128. The cubic root of 57405300 is about 385.7601219289.

Adding to 57405300 its reverse (350475), we get a palindrome (57755775).

The spelling of 57405300 in words is "fifty-seven million, four hundred five thousand, three hundred".