53468800 has 288 divisors, whose sum is σ = 173024640. Its totient is φ = 16128000.

The previous prime is 53468759. The next prime is 53468839. The reversal of 53468800 is 886435.

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, 1724785 + ... + 1724815.

It is an arithmetic number, because the mean of its divisors is an integer number (600780).

Almost surely, 2^53468800 is an apocalyptic number.

53468800 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 53468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86512320).

53468800 is an abundant number, since it is smaller than the sum of its proper divisors (119555840).

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

53468800 is a wasteful number, since it uses less digits than its factorization.

53468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 53468800 is about 7312.2363200323. The cubic root of 53468800 is about 376.7328396371.

The spelling of 53468800 in words is "fifty-three million, four hundred sixty-eight thousand, eight hundred".