48818400 has 72 divisors (see below), whose sum is σ = 158911704. Its totient is φ = 13017600.

The previous prime is 48818387. The next prime is 48818401. The reversal of 48818400 is 481884.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48818401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7771 + ... + 12570.

It is an arithmetic number, because the mean of its divisors is an integer number (2207107).

Almost surely, 2^48818400 is an apocalyptic number.

48818400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48818400 is an abundant number, since it is smaller than the sum of its proper divisors (110093304).

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

48818400 is a wasteful number, since it uses less digits than its factorization.

48818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20364 (or 20351 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 48818400 is about 6987.0165306803. The cubic root of 48818400 is about 365.4779502169.

The spelling of 48818400 in words is "forty-eight million, eight hundred eighteen thousand, four hundred".