434040896 has 56 divisors (see below), whose sum is σ = 877869720. Its totient is φ = 212889600.

The previous prime is 434040881. The next prime is 434040913. The reversal of 434040896 is 698040434.

It can be written as a sum of positive squares in 4 ways, for example, as 89567296 + 344473600 = 9464^2 + 18560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030766 + ... + 1031186.

It is an arithmetic number, because the mean of its divisors is an integer number (15676245).

Almost surely, 2^434040896 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 434040896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438934860).

434040896 is an abundant number, since it is smaller than the sum of its proper divisors (443828824).

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

434040896 is a wasteful number, since it uses less digits than its factorization.

434040896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 434040896 is about 20833.6481682878. The cubic root of 434040896 is about 757.1412082352.

The spelling of 434040896 in words is "four hundred thirty-four million, forty thousand, eight hundred ninety-six".