434404404 has 288 divisors, whose sum is σ = 1415715840. Its totient is φ = 114561216.

The previous prime is 434404393. The next prime is 434404441. The reversal of 434404404 is 404404434.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5233747 + ... + 5233829.

It is an arithmetic number, because the mean of its divisors is an integer number (4915680).

Almost surely, 2^434404404 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 434404404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707857920).

434404404 is an abundant number, since it is smaller than the sum of its proper divisors (981311436).

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

434404404 is a wasteful number, since it uses less digits than its factorization.

434404404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

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

The square root of 434404404 is about 20842.3704026198. The cubic root of 434404404 is about 757.3525171162.

Adding to 434404404 its reverse (404404434), we get a palindrome (838808838).

The spelling of 434404404 in words is "four hundred thirty-four million, four hundred four thousand, four hundred four".