53902800 has 480 divisors, whose sum is σ = 236175360. Its totient is φ = 11404800.

The previous prime is 53902781. The next prime is 53902811. The reversal of 53902800 is 820935.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1738785 + ... + 1738815.

It is an arithmetic number, because the mean of its divisors is an integer number (492032).

Almost surely, 2^53902800 is an apocalyptic number.

53902800 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 53902800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118087680).

53902800 is an abundant number, since it is smaller than the sum of its proper divisors (182272560).

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

53902800 is a wasteful number, since it uses less digits than its factorization.

53902800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 53902800 is about 7341.8526272324. The cubic root of 53902800 is about 377.7493929718.

The spelling of 53902800 in words is "fifty-three million, nine hundred two thousand, eight hundred".