964308480 has 160 divisors (see below), whose sum is σ = 3101506848. Its totient is φ = 255590400.

The previous prime is 964308427. The next prime is 964308487. The reversal of 964308480 is 84803469.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964308487) 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, 1850620 + ... + 1851140.

Almost surely, 2^964308480 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 964308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550753424).

964308480 is an abundant number, since it is smaller than the sum of its proper divisors (2137198368).

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

964308480 is a wasteful number, since it uses less digits than its factorization.

964308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 964308480 is about 31053.3167310676. The cubic root of 964308480 is about 987.9584087569.

The spelling of 964308480 in words is "nine hundred sixty-four million, three hundred eight thousand, four hundred eighty".