48048480400 has 60 divisors (see below), whose sum is σ = 122226872292. Its totient is φ = 18088837120.

The previous prime is 48048480373. The next prime is 48048480443. The reversal of 48048480400 is 408484084.

It can be written as a sum of positive squares in 6 ways, for example, as 13868176 + 48034612224 = 3724^2 + 219168^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3526177 + ... + 3539776.

Almost surely, 2^48048480400 is an apocalyptic number.

48048480400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48048480400 is an abundant number, since it is smaller than the sum of its proper divisors (74178391892).

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

48048480400 is a wasteful number, since it uses less digits than its factorization.

48048480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065988 (or 7065977 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 48048480400 in words is "forty-eight billion, forty-eight million, four hundred eighty thousand, four hundred".