53204800 has 84 divisors (see below), whose sum is σ = 142865856. Its totient is φ = 19340800.

The previous prime is 53204783. The next prime is 53204831. The reversal of 53204800 is 840235.

53204800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16089 + ... + 19111.

It is an arithmetic number, because the mean of its divisors is an integer number (1700784).

Almost surely, 2^53204800 is an apocalyptic number.

53204800 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 53204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71432928).

53204800 is an abundant number, since it is smaller than the sum of its proper divisors (89661056).

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

53204800 is a wasteful number, since it uses less digits than its factorization.

53204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 53204800 is about 7294.1620492007. The cubic root of 53204800 is about 376.1117820658. Note that the first 3 decimals are identical.

The spelling of 53204800 in words is "fifty-three million, two hundred four thousand, eight hundred".