964774272 has 256 divisors, whose sum is σ = 3249377280. Its totient is φ = 246343680.

The previous prime is 964774271. The next prime is 964774277. The reversal of 964774272 is 272477469.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964774271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1980813 + ... + 1981299.

It is an arithmetic number, because the mean of its divisors is an integer number (12692880).

Almost surely, 2^964774272 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 964774272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624688640).

964774272 is an abundant number, since it is smaller than the sum of its proper divisors (2284603008).

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

964774272 is a wasteful number, since it uses less digits than its factorization.

964774272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 577 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The square root of 964774272 is about 31060.8157008151. The cubic root of 964774272 is about 988.1174550435.

The spelling of 964774272 in words is "nine hundred sixty-four million, seven hundred seventy-four thousand, two hundred seventy-two".