48556400 has 60 divisors (see below), whose sum is σ = 122815800. Its totient is φ = 18397440.

The previous prime is 48556393. The next prime is 48556433. The reversal of 48556400 is 465584.

48556400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4406 + ... + 10794.

It is an arithmetic number, because the mean of its divisors is an integer number (2046930).

Almost surely, 2^48556400 is an apocalyptic number.

48556400 is a gapful number since it is divisible by the number (40) 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 48556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61407900).

48556400 is an abundant number, since it is smaller than the sum of its proper divisors (74259400).

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

48556400 is a wasteful number, since it uses less digits than its factorization.

48556400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426 (or 6415 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 48556400 is about 6968.2422460761. The cubic root of 48556400 is about 364.8229578632.

The spelling of 48556400 in words is "forty-eight million, five hundred fifty-six thousand, four hundred".