434686434 has 64 divisors (see below), whose sum is σ = 1098967296. Its totient is φ = 111538944.

The previous prime is 434686429. The next prime is 434686489.

434686434 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 9444 + ... + 30960.

It is an arithmetic number, because the mean of its divisors is an integer number (17171364).

Almost surely, 2^434686434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434686434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549483648).

434686434 is an abundant number, since it is smaller than the sum of its proper divisors (664280862).

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

434686434 is a wasteful number, since it uses less digits than its factorization.

434686434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21579.

The product of its digits is 663552, while the sum is 42.

The square root of 434686434 is about 20849.1350899744. The cubic root of 434686434 is about 757.5163812641.

The spelling of 434686434 in words is "four hundred thirty-four million, six hundred eighty-six thousand, four hundred thirty-four".