49584864 has 144 divisors (see below), whose sum is σ = 154441728. Its totient is φ = 13886208.

The previous prime is 49584827. The next prime is 49584877. The reversal of 49584864 is 46848594.

49584864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 390369 + ... + 390495.

It is an arithmetic number, because the mean of its divisors is an integer number (1072512).

Almost surely, 2^49584864 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 49584864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220864).

49584864 is an abundant number, since it is smaller than the sum of its proper divisors (104856864).

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

49584864 is a wasteful number, since it uses less digits than its factorization.

49584864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 49584864 is about 7041.6520788804. The cubic root of 49584864 is about 367.3807322723.

The spelling of 49584864 in words is "forty-nine million, five hundred eighty-four thousand, eight hundred sixty-four".