434399680 has 168 divisors, whose sum is σ = 1225881216. Its totient is φ = 145643520.

The previous prime is 434399663. The next prime is 434399681. The reversal of 434399680 is 86993434.

It is a self number, because there is not a number n which added to its sum of digits gives 434399680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434399681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502929 + ... + 503791.

It is an arithmetic number, because the mean of its divisors is an integer number (7296912).

Almost surely, 2^434399680 is an apocalyptic number.

434399680 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 434399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612940608).

434399680 is an abundant number, since it is smaller than the sum of its proper divisors (791481536).

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

434399680 is a wasteful number, since it uses less digits than its factorization.

434399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The square root of 434399680 is about 20842.2570754705. The cubic root of 434399680 is about 757.3497717894.

The spelling of 434399680 in words is "four hundred thirty-four million, three hundred ninety-nine thousand, six hundred eighty".