964953444 has 96 divisors (see below), whose sum is σ = 2777806080. Its totient is φ = 253882368.

The previous prime is 964953427. The next prime is 964953469. The reversal of 964953444 is 444359469.

It is a super-2 number, since 2×964953444² = 1862270298174922272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 964953393 and 964953402.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 620572 + ... + 622124.

It is an arithmetic number, because the mean of its divisors is an integer number (28935480).

Almost surely, 2^964953444 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 964953444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388903040).

964953444 is an abundant number, since it is smaller than the sum of its proper divisors (1812852636).

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

964953444 is a wasteful number, since it uses less digits than its factorization.

964953444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2147 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 964953444 is about 31063.6997796463. The cubic root of 964953444 is about 988.1786203085.

The spelling of 964953444 in words is "nine hundred sixty-four million, nine hundred fifty-three thousand, four hundred forty-four".