54955200 has 126 divisors (see below), whose sum is σ = 181999636. Its totient is φ = 14517760.

The previous prime is 54955193. The next prime is 54955289. The reversal of 54955200 is 255945.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 513547 + ... + 513653.

Almost surely, 2^54955200 is an apocalyptic number.

54955200 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 54955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90999818).

54955200 is an abundant number, since it is smaller than the sum of its proper divisors (127044436).

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

54955200 is a wasteful number, since it uses less digits than its factorization.

54955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 54955200 is about 7413.1774563948. The cubic root of 54955200 is about 380.1919621065.

It can be divided in two parts, 54955 and 200, that added together give a palindrome (55155).

The spelling of 54955200 in words is "fifty-four million, nine hundred fifty-five thousand, two hundred".