49881600 has 180 divisors, whose sum is σ = 178924746. Its totient is φ = 13271040.

The previous prime is 49881599. The next prime is 49881647. The reversal of 49881600 is 618894.

It is a happy number.

49881600 is a `hidden beast` number, since 49 + 8 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 26378496 + 23503104 = 5136^2 + 4848^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114984 + ... + 115416.

Almost surely, 2^49881600 is an apocalyptic number.

49881600 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 49881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89462373).

49881600 is an abundant number, since it is smaller than the sum of its proper divisors (129043146).

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

49881600 is a wasteful number, since it uses less digits than its factorization.

49881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 49881600 is about 7062.6907053898. The cubic root of 49881600 is about 368.1121271428.

The spelling of 49881600 in words is "forty-nine million, eight hundred eighty-one thousand, six hundred".