53632400 has 30 divisors (see below), whose sum is σ = 128852802. Its totient is φ = 21452800.

The previous prime is 53632363. The next prime is 53632451. The reversal of 53632400 is 423635.

It can be written as a sum of positive squares in 3 ways, for example, as 692224 + 52940176 = 832^2 + 7276^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66641 + ... + 67440.

Almost surely, 2^53632400 is an apocalyptic number.

53632400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53632400 is an abundant number, since it is smaller than the sum of its proper divisors (75220402).

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

53632400 is a wasteful number, since it uses less digits than its factorization.

53632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134099 (or 134088 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 53632400 is about 7323.4145041777. The cubic root of 53632400 is about 377.1166817944.

The spelling of 53632400 in words is "fifty-three million, six hundred thirty-two thousand, four hundred".