434431296 has 224 divisors, whose sum is σ = 1397934720. Its totient is φ = 131493888.

The previous prime is 434431271. The next prime is 434431307. The reversal of 434431296 is 692134434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 434431296.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1864396 + ... + 1864628.

It is an arithmetic number, because the mean of its divisors is an integer number (6240780).

Almost surely, 2^434431296 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 434431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698967360).

434431296 is an abundant number, since it is smaller than the sum of its proper divisors (963503424).

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

434431296 is a wasteful number, since it uses less digits than its factorization.

434431296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 434431296 is about 20843.0155207926. The cubic root of 434431296 is about 757.3681448765.

The spelling of 434431296 in words is "four hundred thirty-four million, four hundred thirty-one thousand, two hundred ninety-six".