48886400 has 48 divisors (see below), whose sum is σ = 120772590. Its totient is φ = 19553280.

The previous prime is 48886381. The next prime is 48886403. The reversal of 48886400 is 468884.

It can be written as a sum of positive squares in 3 ways, for example, as 24522304 + 24364096 = 4952^2 + 4936^2 .

It is not an unprimeable number, because it can be changed into a prime (48886403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4439 + ... + 10838.

Almost surely, 2^48886400 is an apocalyptic number.

48886400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48886400 is an abundant number, since it is smaller than the sum of its proper divisors (71886190).

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

48886400 is a wasteful number, since it uses less digits than its factorization.

48886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15301 (or 15284 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 48886400 is about 6991.8810058524. The cubic root of 48886400 is about 365.6475650232.

The spelling of 48886400 in words is "forty-eight million, eight hundred eighty-six thousand, four hundred".