909046864 has 60 divisors (see below), whose sum is σ = 1955538900. Its totient is φ = 409024000.

The previous prime is 909046861. The next prime is 909046877. The reversal of 909046864 is 468640909.

909046864 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 882090000 + 26956864 = 29700^2 + 5192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (909046861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193212 + ... + 197860.

It is an arithmetic number, because the mean of its divisors is an integer number (32592315).

Almost surely, 2^909046864 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 909046864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977769450).

909046864 is an abundant number, since it is smaller than the sum of its proper divisors (1046492036).

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

909046864 is a wasteful number, since it uses less digits than its factorization.

909046864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 909046864 is about 30150.4040437272. The cubic root of 909046864 is about 968.7136610497.

The spelling of 909046864 in words is "nine hundred nine million, forty-six thousand, eight hundred sixty-four".