54813200 has 120 divisors (see below), whose sum is σ = 144657408. Its totient is φ = 19837440.

The previous prime is 54813179. The next prime is 54813203. The reversal of 54813200 is 231845.

It is not an unprimeable number, because it can be changed into a prime (54813203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431537 + ... + 431663.

Almost surely, 2^54813200 is an apocalyptic number.

54813200 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 54813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72328704).

54813200 is an abundant number, since it is smaller than the sum of its proper divisors (89844208).

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

54813200 is a wasteful number, since it uses less digits than its factorization.

54813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 54813200 is about 7403.5937219704. The cubic root of 54813200 is about 379.8642174156.

The spelling of 54813200 in words is "fifty-four million, eight hundred thirteen thousand, two hundred".