964104444 has 72 divisors (see below), whose sum is σ = 2534138880. Its totient is φ = 320499504.

The previous prime is 964104443. The next prime is 964104481. The reversal of 964104444 is 444401469.

964104444 is a `hidden beast` number, since 9 + 641 + 0 + 4 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 964104399 and 964104408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964104443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429477 + ... + 431715.

Almost surely, 2^964104444 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 964104444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267069440).

964104444 is an abundant number, since it is smaller than the sum of its proper divisors (1570034436).

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

964104444 is a wasteful number, since it uses less digits than its factorization.

964104444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 964104444 is about 31050.0313043320. The cubic root of 964104444 is about 987.8887238290. Note that the first 3 decimals are identical.

The spelling of 964104444 in words is "nine hundred sixty-four million, one hundred four thousand, four hundred forty-four".