48008480400 has 90 divisors (see below), whose sum is σ = 166602775170. Its totient is φ = 12802260480.

The previous prime is 48008480393. The next prime is 48008480411. The reversal of 48008480400 is 408480084.

It can be written as a sum of positive squares in 3 ways, for example, as 372798864 + 47635681536 = 19308^2 + 218256^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6664245 + ... + 6671444.

Almost surely, 2^48008480400 is an apocalyptic number.

48008480400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48008480400 is an abundant number, since it is smaller than the sum of its proper divisors (118594294770).

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

48008480400 is a wasteful number, since it uses less digits than its factorization.

48008480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13335713 (or 13335699 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 48008480400 in words is "forty-eight billion, eight million, four hundred eighty thousand, four hundred".