434431504 has 80 divisors (see below), whose sum is σ = 980284480. Its totient is φ = 184757760.

The previous prime is 434431493. The next prime is 434431589. The reversal of 434431504 is 405134434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144739 + ... + 147709.

It is an arithmetic number, because the mean of its divisors is an integer number (12253556).

Almost surely, 2^434431504 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 434431504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490142240).

434431504 is an abundant number, since it is smaller than the sum of its proper divisors (545852976).

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

434431504 is a wasteful number, since it uses less digits than its factorization.

434431504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 434431504 is about 20843.0205104730. The cubic root of 434431504 is about 757.3682657491.

Adding to 434431504 its reverse (405134434), we get a palindrome (839565938).

The spelling of 434431504 in words is "four hundred thirty-four million, four hundred thirty-one thousand, five hundred four".