434239680 has 336 divisors, whose sum is σ = 1672254720. Its totient is φ = 93505536.

The previous prime is 434239669. The next prime is 434239693. The reversal of 434239680 is 86932434.

It is a tau number, because it is divible by the number of its divisors (336).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2425831 + ... + 2426009.

Almost surely, 2^434239680 is an apocalyptic number.

434239680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836127360).

434239680 is an abundant number, since it is smaller than the sum of its proper divisors (1238015040).

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

434239680 is a wasteful number, since it uses less digits than its factorization.

434239680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 434239680 is about 20838.4183660853. The cubic root of 434239680 is about 757.2567769051.

The spelling of 434239680 in words is "four hundred thirty-four million, two hundred thirty-nine thousand, six hundred eighty".