54172800 has 480 divisors, whose sum is σ = 229561200. Its totient is φ = 12441600.

The previous prime is 54172771. The next prime is 54172801. The reversal of 54172800 is 827145.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54172801) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 2851191 + ... + 2851209.

Almost surely, 2^54172800 is an apocalyptic number.

54172800 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 54172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114780600).

54172800 is an abundant number, since it is smaller than the sum of its proper divisors (175388400).

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

54172800 is a wasteful number, since it uses less digits than its factorization.

54172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 54172800 is about 7360.2173880939. The cubic root of 54172800 is about 378.3790604143.

Adding to 54172800 its reverse (827145), we get a palindrome (54999945).

The spelling of 54172800 in words is "fifty-four million, one hundred seventy-two thousand, eight hundred".