54814200 has 192 divisors, whose sum is σ = 200939520. Its totient is φ = 12096000.

The previous prime is 54814189. The next prime is 54814211. The reversal of 54814200 is 241845.

54814200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54814189) and next prime (54814211).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129990 + ... + 130410.

It is an arithmetic number, because the mean of its divisors is an integer number (1046560).

Almost surely, 2^54814200 is an apocalyptic number.

54814200 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 54814200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100469760).

54814200 is an abundant number, since it is smaller than the sum of its proper divisors (146125320).

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

54814200 is a wasteful number, since it uses less digits than its factorization.

54814200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 54814200 is about 7403.6612564325. The cubic root of 54814200 is about 379.8665274547.

The spelling of 54814200 in words is "fifty-four million, eight hundred fourteen thousand, two hundred".