54754800 has 120 divisors (see below), whose sum is σ = 177500544. Its totient is φ = 14426880.

The previous prime is 54754793. The next prime is 54754801. The reversal of 54754800 is 845745.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54754801) 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, 123379 + ... + 123821.

Almost surely, 2^54754800 is an apocalyptic number.

54754800 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 54754800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88750272).

54754800 is an abundant number, since it is smaller than the sum of its proper divisors (122745744).

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

54754800 is a wasteful number, since it uses less digits than its factorization.

54754800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 54754800 is about 7399.6486403072. The cubic root of 54754800 is about 379.7292623711.

The spelling of 54754800 in words is "fifty-four million, seven hundred fifty-four thousand, eight hundred".