48800800 has 36 divisors (see below), whose sum is σ = 119136906. Its totient is φ = 19520000.

The previous prime is 48800777. The next prime is 48800819. The reversal of 48800800 is 800884.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 39388176 + 9412624 = 6276^2 + 3068^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29701 + ... + 31300.

Almost surely, 2^48800800 is an apocalyptic number.

48800800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48800800 is an abundant number, since it is smaller than the sum of its proper divisors (70336106).

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

48800800 is a wasteful number, since it uses less digits than its factorization.

48800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61021 (or 61008 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 48800800 is about 6985.7569382280. The cubic root of 48800800 is about 365.4340242581.

The spelling of 48800800 in words is "forty-eight million, eight hundred thousand, eight hundred".