48400685400 has 192 divisors, whose sum is σ = 152847360000. Its totient is φ = 12666309120.

The previous prime is 48400685381. The next prime is 48400685419. The reversal of 48400685400 is 458600484.

It is an interprime number because it is at equal distance from previous prime (48400685381) and next prime (48400685419).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 37841961 + ... + 37843239.

It is an arithmetic number, because the mean of its divisors is an integer number (796080000).

Almost surely, 2^48400685400 is an apocalyptic number.

48400685400 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 48400685400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76423680000).

48400685400 is an abundant number, since it is smaller than the sum of its proper divisors (104446674600).

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

48400685400 is a wasteful number, since it uses less digits than its factorization.

48400685400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 48400685400 in words is "forty-eight billion, four hundred million, six hundred eighty-five thousand, four hundred".