48618800 has 30 divisors (see below), whose sum is σ = 116807628. Its totient is φ = 19447360.

The previous prime is 48618797. The next prime is 48618809. The reversal of 48618800 is 881684.

It is not an unprimeable number, because it can be changed into a prime (48618809) 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, 60374 + ... + 61173.

Almost surely, 2^48618800 is an apocalyptic number.

48618800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48618800 is an abundant number, since it is smaller than the sum of its proper divisors (68188828).

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

48618800 is a wasteful number, since it uses less digits than its factorization.

48618800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121565 (or 121554 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 48618800 is about 6972.7182647802. The cubic root of 48618800 is about 364.9791693873.

The spelling of 48618800 in words is "forty-eight million, six hundred eighteen thousand, eight hundred".