4464016100 has 18 divisors (see below), whose sum is σ = 9686915154. Its totient is φ = 1785606400.

The previous prime is 4464016097. The next prime is 4464016133. The reversal of 4464016100 is 16104644.

It can be written as a sum of positive squares in 3 ways, for example, as 879359716 + 3584656384 = 29654^2 + 59872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4464016100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22319981 + ... + 22320180.

It is an arithmetic number, because the mean of its divisors is an integer number (538161953).

Almost surely, 2^4464016100 is an apocalyptic number.

It is an amenable number.

4464016100 is an abundant number, since it is smaller than the sum of its proper divisors (5222899054).

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

4464016100 is a wasteful number, since it uses less digits than its factorization.

4464016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44640175 (or 44640168 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 4464016100 is about 66813.2928390751. The cubic root of 4464016100 is about 1646.5512416339.

The spelling of 4464016100 in words is "four billion, four hundred sixty-four million, sixteen thousand, one hundred".