54580800 has 168 divisors, whose sum is σ = 182550816. Its totient is φ = 14274560.

The previous prime is 54580793. The next prime is 54580819. The reversal of 54580800 is 808545.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398332 + ... + 398468.

It is an arithmetic number, because the mean of its divisors is an integer number (1086612).

Almost surely, 2^54580800 is an apocalyptic number.

54580800 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 54580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91275408).

54580800 is an abundant number, since it is smaller than the sum of its proper divisors (127970016).

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

54580800 is a wasteful number, since it uses less digits than its factorization.

54580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 54580800 is about 7387.8819698206. The cubic root of 54580800 is about 379.3266005383.

The spelling of 54580800 in words is "fifty-four million, five hundred eighty thousand, eight hundred".