434910456 has 96 divisors (see below), whose sum is σ = 1312880400. Its totient is φ = 129254400.

The previous prime is 434910449. The next prime is 434910479. The reversal of 434910456 is 654019434.

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

It is a self number, because there is not a number n which added to its sum of digits gives 434910456.

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, 13906 + ... + 32606.

Almost surely, 2^434910456 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 434910456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656440200).

434910456 is an abundant number, since it is smaller than the sum of its proper divisors (877969944).

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

434910456 is a wasteful number, since it uses less digits than its factorization.

434910456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18749 (or 18742 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 434910456 is about 20854.5068510382. The cubic root of 434910456 is about 757.6464912908.

The spelling of 434910456 in words is "four hundred thirty-four million, nine hundred ten thousand, four hundred fifty-six".