49878900 has 108 divisors (see below), whose sum is σ = 157784172. Its totient is φ = 13178880.

The previous prime is 49878863. The next prime is 49878911. The reversal of 49878900 is 987894.

49878900 is a `hidden beast` number, since 498 + 78 + 90 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4235364 + 45643536 = 2058^2 + 6756^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141124 + ... + 141476.

Almost surely, 2^49878900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49878900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78892086).

49878900 is an abundant number, since it is smaller than the sum of its proper divisors (107905272).

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

49878900 is a wasteful number, since it uses less digits than its factorization.

49878900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 49878900 is about 7062.4995575221. The cubic root of 49878900 is about 368.1054852770.

The spelling of 49878900 in words is "forty-nine million, eight hundred seventy-eight thousand, nine hundred".