48080800 has 36 divisors (see below), whose sum is σ = 117379206. Its totient is φ = 19232000.

The previous prime is 48080761. The next prime is 48080831. The reversal of 48080800 is 808084.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 35378704 + 12702096 = 5948^2 + 3564^2 .

It is a super-3 number, since 3×48080800³ (a number of 24 digits) contains 333 as substring.

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, 29251 + ... + 30850.

Almost surely, 2^48080800 is an apocalyptic number.

48080800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48080800 is an abundant number, since it is smaller than the sum of its proper divisors (69298406).

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

48080800 is a wasteful number, since it uses less digits than its factorization.

48080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60121 (or 60108 counting only the distinct ones).

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

The square root of 48080800 is about 6934.0320160784. The cubic root of 48080800 is about 363.6279255618.

Adding to 48080800 its reverse (808084), we get a palindrome (48888884).

The spelling of 48080800 in words is "forty-eight million, eighty thousand, eight hundred".