54739800 has 240 divisors, whose sum is σ = 198052800. Its totient is φ = 13996800.

The previous prime is 54739781. The next prime is 54739823. The reversal of 54739800 is 893745.

54739800 is a `hidden beast` number, since 547 + 39 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 502146 + ... + 502254.

It is an arithmetic number, because the mean of its divisors is an integer number (825220).

Almost surely, 2^54739800 is an apocalyptic number.

54739800 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 54739800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99026400).

54739800 is an abundant number, since it is smaller than the sum of its proper divisors (143313000).

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

54739800 is a wasteful number, since it uses less digits than its factorization.

54739800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 54739800 is about 7398.6350092433. The cubic root of 54739800 is about 379.6945837727.

The spelling of 54739800 in words is "fifty-four million, seven hundred thirty-nine thousand, eight hundred".