4464406304 has 48 divisors (see below), whose sum is σ = 8904551040. Its totient is φ = 2203096320.

The previous prime is 4464406213. The next prime is 4464406321. The reversal of 4464406304 is 4036044644.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 942887 + ... + 947609.

It is an arithmetic number, because the mean of its divisors is an integer number (185511480).

Almost surely, 2^4464406304 is an apocalyptic number.

It is an amenable number.

4464406304 is a deficient number, since it is larger than the sum of its proper divisors (4440144736).

4464406304 is a wasteful number, since it uses less digits than its factorization.

4464406304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

The square root of 4464406304 is about 66816.2128828026. The cubic root of 4464406304 is about 1646.5992157859.

The spelling of 4464406304 in words is "four billion, four hundred sixty-four million, four hundred six thousand, three hundred four".