434008764 has 72 divisors (see below), whose sum is σ = 1263470208. Its totient is φ = 123046560.

The previous prime is 434008753. The next prime is 434008777. The reversal of 434008764 is 467800434.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26439 + ... + 39585.

Almost surely, 2^434008764 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 434008764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631735104).

434008764 is an abundant number, since it is smaller than the sum of its proper divisors (829461444).

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

434008764 is a wasteful number, since it uses less digits than its factorization.

434008764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13295 (or 13290 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 434008764 is about 20832.8769976689. The cubic root of 434008764 is about 757.1225240806.

The spelling of 434008764 in words is "four hundred thirty-four million, eight thousand, seven hundred sixty-four".