48708400 has 240 divisors, whose sum is σ = 145303200. Its totient is φ = 15482880.

The previous prime is 48708377. The next prime is 48708463. The reversal of 48708400 is 480784.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1679586 + ... + 1679614.

It is an arithmetic number, because the mean of its divisors is an integer number (605430).

Almost surely, 2^48708400 is an apocalyptic number.

48708400 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 48708400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72651600).

48708400 is an abundant number, since it is smaller than the sum of its proper divisors (96594800).

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

48708400 is a wasteful number, since it uses less digits than its factorization.

48708400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 48708400 is about 6979.1403482091. The cubic root of 48708400 is about 365.2032395351.

The spelling of 48708400 in words is "forty-eight million, seven hundred eight thousand, four hundred".