49888800 has 324 divisors, whose sum is σ = 195139854. Its totient is φ = 11980800.

The previous prime is 49888793. The next prime is 49888823. The reversal of 49888800 is 888894.

49888800 is a `hidden beast` number, since 498 + 88 + 80 + 0 = 666.

49888800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 8363664 + 41525136 = 2892^2 + 6444^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1216780 + ... + 1216820.

Almost surely, 2^49888800 is an apocalyptic number.

49888800 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 49888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97569927).

49888800 is an abundant number, since it is smaller than the sum of its proper divisors (145251054).

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

49888800 is a wasteful number, since it uses less digits than its factorization.

49888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 49888800 is about 7063.2004077472. The cubic root of 49888800 is about 368.1298376132.

It can be divided in two parts, 498 and 88800, that added together give a palindrome (89298).

The spelling of 49888800 in words is "forty-nine million, eight hundred eighty-eight thousand, eight hundred".