434024320 has 96 divisors (see below), whose sum is σ = 1063588680. Its totient is φ = 169362432.

The previous prime is 434024317. The next prime is 434024351. The reversal of 434024320 is 23420434.

It is a super-2 number, since 2×434024320² = 376754220702924800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434024291 and 434024300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1413607 + ... + 1413913.

Almost surely, 2^434024320 is an apocalyptic number.

434024320 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 434024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531794340).

434024320 is an abundant number, since it is smaller than the sum of its proper divisors (629564360).

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

434024320 is an equidigital number, since it uses as much as digits as its factorization.

434024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 434024320 is about 20833.2503465014. The cubic root of 434024320 is about 757.1315697176.

Adding to 434024320 its reverse (23420434), we get a palindrome (457444754).

The spelling of 434024320 in words is "four hundred thirty-four million, twenty-four thousand, three hundred twenty".