430444404 has 72 divisors (see below), whose sum is σ = 1200398472. Its totient is φ = 129208320.

The previous prime is 430444397. The next prime is 430444423. The reversal of 430444404 is 404444034.

It can be written as a sum of positive squares in 4 ways, for example, as 10112400 + 420332004 = 3180^2 + 20502^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7972 + ... + 30404.

It is an arithmetic number, because the mean of its divisors is an integer number (16672201).

Almost surely, 2^430444404 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 430444404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600199236).

430444404 is an abundant number, since it is smaller than the sum of its proper divisors (769954068).

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

430444404 is a wasteful number, since it uses less digits than its factorization.

430444404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22497 (or 22492 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 430444404 is about 20747.1541180953. The cubic root of 430444404 is about 755.0441644852.

Adding to 430444404 its reverse (404444034), we get a palindrome (834888438).

The spelling of 430444404 in words is "four hundred thirty million, four hundred forty-four thousand, four hundred four".