49764864 has 80 divisors (see below), whose sum is σ = 134053920. Its totient is φ = 16404480.

The previous prime is 49764791. The next prime is 49764887. The reversal of 49764864 is 46846794.

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274854 + ... + 275034.

It is an arithmetic number, because the mean of its divisors is an integer number (1675674).

Almost surely, 2^49764864 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 49764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).

49764864 is an abundant number, since it is smaller than the sum of its proper divisors (84289056).

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

49764864 is a wasteful number, since it uses less digits than its factorization.

49764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 49764864 is about 7054.4215921647. The cubic root of 49764864 is about 367.8247432659.

The spelling of 49764864 in words is "forty-nine million, seven hundred sixty-four thousand, eight hundred sixty-four".