431434320 has 80 divisors (see below), whose sum is σ = 1345306752. Its totient is φ = 114373120.

The previous prime is 431434303. The next prime is 431434343. The reversal of 431434320 is 23434134.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×431434320² = 372271144947724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 36325 + ... + 46715.

Almost surely, 2^431434320 is an apocalyptic number.

431434320 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 431434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672653376).

431434320 is an abundant number, since it is smaller than the sum of its proper divisors (913872432).

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

431434320 is a wasteful number, since it uses less digits than its factorization.

431434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10580 (or 10574 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 431434320 is about 20770.9970872850. The cubic root of 431434320 is about 755.6225264871.

Adding to 431434320 its reverse (23434134), we get a palindrome (454868454).

The spelling of 431434320 in words is "four hundred thirty-one million, four hundred thirty-four thousand, three hundred twenty".