54982800 has 150 divisors (see below), whose sum is σ = 197445138. Its totient is φ = 14653440.

The previous prime is 54982757. The next prime is 54982817. The reversal of 54982800 is 828945.

It can be written as a sum of positive squares in 3 ways, for example, as 14837904 + 40144896 = 3852^2 + 6336^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31552 + ... + 33248.

Almost surely, 2^54982800 is an apocalyptic number.

54982800 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 54982800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98722569).

54982800 is an abundant number, since it is smaller than the sum of its proper divisors (142462338).

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

54982800 is a wasteful number, since it uses less digits than its factorization.

54982800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 54982800 is about 7415.0387726566. The cubic root of 54982800 is about 380.2555990446.

The spelling of 54982800 in words is "fifty-four million, nine hundred eighty-two thousand, eight hundred".