54846400 has 168 divisors, whose sum is σ = 158739840. Its totient is φ = 18263040.

The previous prime is 54846383. The next prime is 54846431. The reversal of 54846400 is 464845.

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 23 ways as a sum of consecutive naturals, for example, 660759 + ... + 660841.

It is an arithmetic number, because the mean of its divisors is an integer number (944880).

Almost surely, 2^54846400 is an apocalyptic number.

54846400 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 54846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

54846400 is an abundant number, since it is smaller than the sum of its proper divisors (103893440).

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

54846400 is a wasteful number, since it uses less digits than its factorization.

54846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 54846400 is about 7405.8355369263. The cubic root of 54846400 is about 379.9408957013.

The spelling of 54846400 in words is "fifty-four million, eight hundred forty-six thousand, four hundred".