48924004800 has 672 divisors, whose sum is σ = 182686878720. Its totient is φ = 11357798400.

The previous prime is 48924004783. The next prime is 48924004813. The reversal of 48924004800 is 840042984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154334242 + ... + 154334558.

Almost surely, 2^48924004800 is an apocalyptic number.

48924004800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48924004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91343439360).

48924004800 is an abundant number, since it is smaller than the sum of its proper divisors (133762873920).

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

48924004800 is a wasteful number, since it uses less digits than its factorization.

48924004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 48924004800 in words is "forty-eight billion, nine hundred twenty-four million, four thousand, eight hundred".