53944800 has 432 divisors, whose sum is σ = 228735360. Its totient is φ = 10782720.

The previous prime is 53944789. The next prime is 53944811. The reversal of 53944800 is 844935.

It is an interprime number because it is at equal distance from previous prime (53944789) and next prime (53944811).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2839191 + ... + 2839209.

It is an arithmetic number, because the mean of its divisors is an integer number (529480).

Almost surely, 2^53944800 is an apocalyptic number.

53944800 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 53944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114367680).

53944800 is an abundant number, since it is smaller than the sum of its proper divisors (174790560).

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

53944800 is a wasteful number, since it uses less digits than its factorization.

53944800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 53944800 is about 7344.7123837493. The cubic root of 53944800 is about 377.8474791293.

The spelling of 53944800 in words is "fifty-three million, nine hundred forty-four thousand, eight hundred".