434743490304 has 360 divisors, whose sum is σ = 1348387694192. Its totient is φ = 139206574080.

The previous prime is 434743490249. The next prime is 434743490317. The reversal of 434743490304 is 403094347434.

434743490304 is a `hidden beast` number, since 434 + 74 + 34 + 90 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 434743490304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54386532 + ... + 54394524.

Almost surely, 2^434743490304 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 434743490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674193847096).

434743490304 is an abundant number, since it is smaller than the sum of its proper divisors (913644203888).

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

434743490304 is an equidigital number, since it uses as much as digits as its factorization.

434743490304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8125 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 434743490304 in words is "four hundred thirty-four billion, seven hundred forty-three million, four hundred ninety thousand, three hundred four".