49985964 has 96 divisors (see below), whose sum is σ = 152194560. Its totient is φ = 13887936.

The previous prime is 49985893. The next prime is 49985989. The reversal of 49985964 is 46958994.

49985964 is a `hidden beast` number, since 49 + 9 + 8 + 596 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 49985964.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27079 + ... + 28865.

It is an arithmetic number, because the mean of its divisors is an integer number (1585360).

Almost surely, 2^49985964 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 49985964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76097280).

49985964 is an abundant number, since it is smaller than the sum of its proper divisors (102208596).

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

49985964 is a wasteful number, since it uses less digits than its factorization.

49985964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1836 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 49985964 is about 7070.0752471243. The cubic root of 49985964 is about 368.3686739271.

The spelling of 49985964 in words is "forty-nine million, nine hundred eighty-five thousand, nine hundred sixty-four".