431706320 has 90 divisors (see below), whose sum is σ = 1059745974. Its totient is φ = 163539200.

The previous prime is 431706311. The next prime is 431706377. The reversal of 431706320 is 23607134.

It can be written as a sum of positive squares in 3 ways, for example, as 268173376 + 163532944 = 16376^2 + 12788^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 431706320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4274270 + ... + 4274370.

Almost surely, 2^431706320 is an apocalyptic number.

431706320 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 431706320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529872987).

431706320 is an abundant number, since it is smaller than the sum of its proper divisors (628039654).

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

431706320 is a wasteful number, since it uses less digits than its factorization.

431706320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 431706320 is about 20777.5436469280. The cubic root of 431706320 is about 755.7812885052.

The spelling of 431706320 in words is "four hundred thirty-one million, seven hundred six thousand, three hundred twenty".