434383680 has 112 divisors (see below), whose sum is σ = 1398812544. Its totient is φ = 114186240.

The previous prime is 434383673. The next prime is 434383699. The reversal of 434383680 is 86383434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64974 + ... + 71346.

Almost surely, 2^434383680 is an apocalyptic number.

434383680 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 434383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699406272).

434383680 is an abundant number, since it is smaller than the sum of its proper divisors (964428864).

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

434383680 is a wasteful number, since it uses less digits than its factorization.

434383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 434383680 is about 20841.8732363480. The cubic root of 434383680 is about 757.3404733286.

The spelling of 434383680 in words is "four hundred thirty-four million, three hundred eighty-three thousand, six hundred eighty".