964461456 has 120 divisors (see below), whose sum is σ = 3091093824. Its totient is φ = 274993920.

The previous prime is 964461427. The next prime is 964461457. The reversal of 964461456 is 654164469.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964461457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 883471 + ... + 884561.

Almost surely, 2^964461456 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 964461456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545546912).

964461456 is an abundant number, since it is smaller than the sum of its proper divisors (2126632368).

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

964461456 is a wasteful number, since it uses less digits than its factorization.

964461456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1980 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 964461456 is about 31055.7797519238. The cubic root of 964461456 is about 988.0106485873.

The spelling of 964461456 in words is "nine hundred sixty-four million, four hundred sixty-one thousand, four hundred fifty-six".