434624320 has 112 divisors (see below), whose sum is σ = 1122444288. Its totient is φ = 159344640.

The previous prime is 434624303. The next prime is 434624383. The reversal of 434624320 is 23426434.

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, 794287 + ... + 794833.

It is an arithmetic number, because the mean of its divisors is an integer number (10021824).

Almost surely, 2^434624320 is an apocalyptic number.

434624320 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 434624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561222144).

434624320 is an abundant number, since it is smaller than the sum of its proper divisors (687819968).

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

434624320 is a wasteful number, since it uses less digits than its factorization.

434624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 434624320 is about 20847.6454305996. The cubic root of 434624320 is about 757.4802980785.

The spelling of 434624320 in words is "four hundred thirty-four million, six hundred twenty-four thousand, three hundred twenty".