49584964 has 48 divisors (see below), whose sum is σ = 106404480. Its totient is φ = 19895040.

The previous prime is 49584961. The next prime is 49584967. The reversal of 49584964 is 46948594.

49584964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49584961) and next prime (49584967).

It is not an unprimeable number, because it can be changed into a prime (49584961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11272 + ... + 15040.

It is an arithmetic number, because the mean of its divisors is an integer number (2216760).

Almost surely, 2^49584964 is an apocalyptic number.

49584964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

49584964 is an abundant number, since it is smaller than the sum of its proper divisors (56819516).

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

49584964 is a wasteful number, since it uses less digits than its factorization.

49584964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3818 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 49.

The square root of 49584964 is about 7041.6591794832. The cubic root of 49584964 is about 367.3809792432.

The spelling of 49584964 in words is "forty-nine million, five hundred eighty-four thousand, nine hundred sixty-four".