48435520400 has 60 divisors (see below), whose sum is σ = 116780723844. Its totient is φ = 19305216000.

The previous prime is 48435520391. The next prime is 48435520429. The reversal of 48435520400 is 402553484.

It can be written as a sum of positive squares in 6 ways, for example, as 54878464 + 48380641936 = 7408^2 + 219956^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103061 + ... + 327860.

Almost surely, 2^48435520400 is an apocalyptic number.

48435520400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48435520400 is an abundant number, since it is smaller than the sum of its proper divisors (68345203444).

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

48435520400 is a wasteful number, since it uses less digits than its factorization.

48435520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431220 (or 431209 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 48435520400 in words is "forty-eight billion, four hundred thirty-five million, five hundred twenty thousand, four hundred".