404434420 has 96 divisors (see below), whose sum is σ = 995023008. Its totient is φ = 136691712.

The previous prime is 404434379. The next prime is 404434441. The reversal of 404434420 is 24434404.

It can be written as a sum of positive squares in 16 ways, for example, as 9696996 + 394737424 = 3114^2 + 19868^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162304 + ... + 164776.

It is an arithmetic number, because the mean of its divisors is an integer number (10364823).

Almost surely, 2^404434420 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 404434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497511504).

404434420 is an abundant number, since it is smaller than the sum of its proper divisors (590588588).

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

404434420 is a wasteful number, since it uses less digits than its factorization.

404434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 404434420 is about 20110.5549401303. The cubic root of 404434420 is about 739.5190568610.

Adding to 404434420 its reverse (24434404), we get a palindrome (428868824).

The spelling of 404434420 in words is "four hundred four million, four hundred thirty-four thousand, four hundred twenty".