434401312 has 48 divisors (see below), whose sum is σ = 883357272. Its totient is φ = 210124800.

The previous prime is 434401277. The next prime is 434401327. The reversal of 434401312 is 213104434.

It can be written as a sum of positive squares in 4 ways, for example, as 316982416 + 117418896 = 17804^2 + 10836^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227562 + ... + 229462.

Almost surely, 2^434401312 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 434401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441678636).

434401312 is an abundant number, since it is smaller than the sum of its proper divisors (448955960).

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

434401312 is a wasteful number, since it uses less digits than its factorization.

434401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 434401312 is about 20842.2962266637. The cubic root of 434401312 is about 757.3507202195.

Adding to 434401312 its reverse (213104434), we get a palindrome (647505746).

The spelling of 434401312 in words is "four hundred thirty-four million, four hundred one thousand, three hundred twelve".