54982200 has 384 divisors, whose sum is σ = 224985600. Its totient is φ = 10782720.

The previous prime is 54982171. The next prime is 54982201. The reversal of 54982200 is 228945.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54982201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1037374 + ... + 1037426.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^54982200 is an apocalyptic number.

54982200 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 54982200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

54982200 is an abundant number, since it is smaller than the sum of its proper divisors (170003400).

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

54982200 is a wasteful number, since it uses less digits than its factorization.

54982200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 54982200 is about 7414.9983142277. The cubic root of 54982200 is about 380.2542158593.

The spelling of 54982200 in words is "fifty-four million, nine hundred eighty-two thousand, two hundred".