54239200 has 72 divisors (see below), whose sum is σ = 133585200. Its totient is φ = 21504000.

The previous prime is 54239189. The next prime is 54239201. The reversal of 54239200 is 293245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54239201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120576 + ... + 121024.

It is an arithmetic number, because the mean of its divisors is an integer number (1855350).

Almost surely, 2^54239200 is an apocalyptic number.

54239200 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 54239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66792600).

54239200 is an abundant number, since it is smaller than the sum of its proper divisors (79346000).

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

54239200 is a wasteful number, since it uses less digits than its factorization.

54239200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 54239200 is about 7364.7267430639. The cubic root of 54239200 is about 378.5335912954.

The spelling of 54239200 in words is "fifty-four million, two hundred thirty-nine thousand, two hundred".