414444004 has 24 divisors (see below), whose sum is σ = 793878008. Its totient is φ = 188144640.

The previous prime is 414443989. The next prime is 414444007. The reversal of 414444004 is 400444414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 240100 + 414203904 = 490^2 + 20352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414444004.

It is not an unprimeable number, because it can be changed into a prime (414444007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62157 + ... + 68500.

Almost surely, 2^414444004 is an apocalyptic number.

It is an amenable number.

414444004 is a deficient number, since it is larger than the sum of its proper divisors (379434004).

414444004 is a wasteful number, since it uses less digits than its factorization.

414444004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130735 (or 130733 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 414444004 is about 20357.8978286070. The cubic root of 414444004 is about 745.5703357550.

Adding to 414444004 its reverse (400444414), we get a palindrome (814888418).

The spelling of 414444004 in words is "four hundred fourteen million, four hundred forty-four thousand, four".