52484400 has 180 divisors, whose sum is σ = 185895840. Its totient is φ = 13708800.

The previous prime is 52484309. The next prime is 52484417. The reversal of 52484400 is 448425.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×52484400² = 5509224486720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 219481 + ... + 219719.

Almost surely, 2^52484400 is an apocalyptic number.

52484400 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 52484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92947920).

52484400 is an abundant number, since it is smaller than the sum of its proper divisors (133411440).

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

52484400 is a wasteful number, since it uses less digits than its factorization.

52484400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 52484400 is about 7244.6117908415. The cubic root of 52484400 is about 374.4065279379.

The spelling of 52484400 in words is "fifty-two million, four hundred eighty-four thousand, four hundred".