53184400 has 30 divisors (see below), whose sum is σ = 127776482. Its totient is φ = 21273600.

The previous prime is 53184389. The next prime is 53184407. The reversal of 53184400 is 448135.

It can be written as a sum of positive squares in 3 ways, for example, as 2944656 + 50239744 = 1716^2 + 7088^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (53184407) 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, 66081 + ... + 66880.

Almost surely, 2^53184400 is an apocalyptic number.

53184400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53184400 is an abundant number, since it is smaller than the sum of its proper divisors (74592082).

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

53184400 is a wasteful number, since it uses less digits than its factorization.

53184400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132979 (or 132968 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 53184400 is about 7292.7635365477. The cubic root of 53184400 is about 376.0637058195.

The spelling of 53184400 in words is "fifty-three million, one hundred eighty-four thousand, four hundred".