964709460 has 432 divisors, whose sum is σ = 3663455040. Its totient is φ = 208915200.

The previous prime is 964709437. The next prime is 964709461. The reversal of 964709460 is 64907469.

964709460 is a `hidden beast` number, since 96 + 470 + 94 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964709461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31119645 + ... + 31119675.

It is an arithmetic number, because the mean of its divisors is an integer number (8480220).

Almost surely, 2^964709460 is an apocalyptic number.

964709460 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964709460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831727520).

964709460 is an abundant number, since it is smaller than the sum of its proper divisors (2698745580).

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

964709460 is a wasteful number, since it uses less digits than its factorization.

964709460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 964709460 is about 31059.7723752123. The cubic root of 964709460 is about 988.0953278287.

The spelling of 964709460 in words is "nine hundred sixty-four million, seven hundred nine thousand, four hundred sixty".