54809200 has 60 divisors (see below), whose sum is σ = 132433488. Its totient is φ = 21798400.

The previous prime is 54809197. The next prime is 54809213. The reversal of 54809200 is 290845.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104940 + ... + 105460.

Almost surely, 2^54809200 is an apocalyptic number.

54809200 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 54809200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66216744).

54809200 is an abundant number, since it is smaller than the sum of its proper divisors (77624288).

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

54809200 is a wasteful number, since it uses less digits than its factorization.

54809200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 54809200 is about 7403.3235779615. The cubic root of 54809200 is about 379.8549769782.

The spelling of 54809200 in words is "fifty-four million, eight hundred nine thousand, two hundred".