48304800 has 108 divisors (see below), whose sum is σ = 170360190. Its totient is φ = 12879360.

The previous prime is 48304799. The next prime is 48304811. The reversal of 48304800 is 840384.

It can be written as a sum of positive squares in 3 ways, for example, as 39087504 + 9217296 = 6252^2 + 3036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3846 + ... + 10554.

Almost surely, 2^48304800 is an apocalyptic number.

48304800 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 48304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85180095).

48304800 is an abundant number, since it is smaller than the sum of its proper divisors (122055390).

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

48304800 is a wasteful number, since it uses less digits than its factorization.

48304800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48304800 is about 6950.1654656562. The cubic root of 48304800 is about 364.1917437629.

The spelling of 48304800 in words is "forty-eight million, three hundred four thousand, eight hundred".