57552400 has 30 divisors (see below), whose sum is σ = 138270602. Its totient is φ = 23020800.

The previous prime is 57552377. The next prime is 57552401. The reversal of 57552400 is 425575.

It can be written as a sum of positive squares in 3 ways, for example, as 35344 + 57517056 = 188^2 + 7584^2 .

It is not an unprimeable number, because it can be changed into a prime (57552401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71541 + ... + 72340.

Almost surely, 2^57552400 is an apocalyptic number.

57552400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57552400 is an abundant number, since it is smaller than the sum of its proper divisors (80718202).

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

57552400 is a wasteful number, since it uses less digits than its factorization.

57552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143899 (or 143888 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 57552400 is about 7586.3298109165. The cubic root of 57552400 is about 386.0893418977.

Adding to 57552400 its reverse (425575), we get a palindrome (57977975).

It can be divided in two parts, 575 and 52400, that added together give a triangular number (52975 = T₃₂₅).

The spelling of 57552400 in words is "fifty-seven million, five hundred fifty-two thousand, four hundred".