54387200 has 120 divisors (see below), whose sum is σ = 154252032. Its totient is φ = 18616320.

The previous prime is 54387191. The next prime is 54387259. The reversal of 54387200 is 278345.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89297 + ... + 89903.

Almost surely, 2^54387200 is an apocalyptic number.

54387200 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 54387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77126016).

54387200 is an abundant number, since it is smaller than the sum of its proper divisors (99864832).

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

54387200 is an equidigital number, since it uses as much as digits as its factorization.

54387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 54387200 is about 7374.7677929546. The cubic root of 54387200 is about 378.8775743240.

The spelling of 54387200 in words is "fifty-four million, three hundred eighty-seven thousand, two hundred".