964300440 has 64 divisors (see below), whose sum is σ = 2903752800. Its totient is φ = 256182272.

The previous prime is 964300439. The next prime is 964300501. The reversal of 964300440 is 44003469.

964300440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 964300398 and 964300407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17344 + ... + 47216.

Almost surely, 2^964300440 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 964300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451876400).

964300440 is an abundant number, since it is smaller than the sum of its proper divisors (1939452360).

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

964300440 is a wasteful number, since it uses less digits than its factorization.

964300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30156 (or 30152 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 964300440 is about 31053.1872760269. The cubic root of 964300440 is about 987.9556630216.

The spelling of 964300440 in words is "nine hundred sixty-four million, three hundred thousand, four hundred forty".