54392200 has 48 divisors (see below), whose sum is σ = 126956160. Its totient is φ = 21672000.

The previous prime is 54392189. The next prime is 54392203. The reversal of 54392200 is 229345.

It is a happy number.

It is a super-2 number, since 2×54392200² = 5917022841680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (54392203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85885 + ... + 86515.

It is an arithmetic number, because the mean of its divisors is an integer number (2644920).

Almost surely, 2^54392200 is an apocalyptic number.

54392200 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 54392200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63478080).

54392200 is an abundant number, since it is smaller than the sum of its proper divisors (72563960).

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

54392200 is a wasteful number, since it uses less digits than its factorization.

54392200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 54392200 is about 7375.1067788880. The cubic root of 54392200 is about 378.8891844689.

The spelling of 54392200 in words is "fifty-four million, three hundred ninety-two thousand, two hundred".