53838400 has 336 divisors, whose sum is σ = 181416960. Its totient is φ = 15206400.

The previous prime is 53838391. The next prime is 53838401. The reversal of 53838400 is 483835.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53838401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2340789 + ... + 2340811.

Almost surely, 2^53838400 is an apocalyptic number.

53838400 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 53838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90708480).

53838400 is an abundant number, since it is smaller than the sum of its proper divisors (127578560).

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

53838400 is a wasteful number, since it uses less digits than its factorization.

53838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 53838400 is about 7337.4655024743. The cubic root of 53838400 is about 377.5988951897.

The spelling of 53838400 in words is "fifty-three million, eight hundred thirty-eight thousand, four hundred".