53874400 has 36 divisors (see below), whose sum is σ = 131522832. Its totient is φ = 21549440.

The previous prime is 53874383. The next prime is 53874409. The reversal of 53874400 is 447835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53874409) 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, 32872 + ... + 34471.

It is an arithmetic number, because the mean of its divisors is an integer number (3653412).

Almost surely, 2^53874400 is an apocalyptic number.

53874400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53874400 is an abundant number, since it is smaller than the sum of its proper divisors (77648432).

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

53874400 is a wasteful number, since it uses less digits than its factorization.

53874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67363 (or 67350 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 53874400 is about 7339.9182556756. The cubic root of 53874400 is about 377.6830391681.

The spelling of 53874400 in words is "fifty-three million, eight hundred seventy-four thousand, four hundred".