49988800 has 84 divisors (see below), whose sum is σ = 124409200. Its totient is φ = 19768320.

The previous prime is 49988797. The next prime is 49988801. The reversal of 49988800 is 888994.

It is not an unprimeable number, because it can be changed into a prime (49988801) 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, 251101 + ... + 251299.

Almost surely, 2^49988800 is an apocalyptic number.

49988800 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 49988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62204600).

49988800 is an abundant number, since it is smaller than the sum of its proper divisors (74420400).

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

49988800 is a wasteful number, since it uses less digits than its factorization.

49988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 49988800 is about 7070.2758079158. The cubic root of 49988800 is about 368.3756403747.

The spelling of 49988800 in words is "forty-nine million, nine hundred eighty-eight thousand, eight hundred".