964480 has 64 divisors (see below), whose sum is σ = 2533680. Its totient is φ = 348160.

The previous prime is 964463. The next prime is 964499. The reversal of 964480 is 84469.

964480 = 6² + 7² + ... + 142².

964480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 6972 + ... + 7108.

2⁹⁶⁴⁴⁸⁰ 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 964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266840).

964480 is an abundant number, since it is smaller than the sum of its proper divisors (1569200).

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

964480 is a wasteful number, since it uses less digits than its factorization.

964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 964480 is about 982.0794265231. The cubic root of 964480 is about 98.8016980809.

It can be divided in two parts, 964 and 480, that added together give a square (1444 = 38²).

The spelling of 964480 in words is "nine hundred sixty-four thousand, four hundred eighty".