949464864 has 72 divisors (see below), whose sum is σ = 2737088172. Its totient is φ = 312145920.

The previous prime is 949464853. The next prime is 949464877. The reversal of 949464864 is 468464949.

It is a happy number.

949464864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 925376400 + 24088464 = 30420^2 + 4908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 949464864.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1557 + ... + 43604.

Almost surely, 2^949464864 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 949464864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368544086).

949464864 is an abundant number, since it is smaller than the sum of its proper divisors (1787623308).

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

949464864 is a wasteful number, since it uses less digits than its factorization.

949464864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45250 (or 45239 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 949464864 is about 30813.3877397472. The cubic root of 949464864 is about 982.8629539111.

The spelling of 949464864 in words is "nine hundred forty-nine million, four hundred sixty-four thousand, eight hundred sixty-four".