54238800 has 240 divisors, whose sum is σ = 216986112. Its totient is φ = 11251200.

The previous prime is 54238763. The next prime is 54238801. The reversal of 54238800 is 883245.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54238801) 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, 92107 + ... + 92693.

Almost surely, 2^54238800 is an apocalyptic number.

54238800 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 54238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108493056).

54238800 is an abundant number, since it is smaller than the sum of its proper divisors (162747312).

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

54238800 is a wasteful number, since it uses less digits than its factorization.

54238800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 54238800 is about 7364.6995865412. The cubic root of 54238800 is about 378.5326607642.

The spelling of 54238800 in words is "fifty-four million, two hundred thirty-eight thousand, eight hundred".