431070408 has 72 divisors (see below), whose sum is σ = 1187672850. Its totient is φ = 141246720.

The previous prime is 431070403. The next prime is 431070427. The reversal of 431070408 is 804070134.

It can be written as a sum of positive squares in 3 ways, for example, as 261080964 + 169989444 = 16158^2 + 13038^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (431070401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 267108 + ... + 268716.

Almost surely, 2^431070408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431070408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593836425).

431070408 is an abundant number, since it is smaller than the sum of its proper divisors (756602442).

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

431070408 is a wasteful number, since it uses less digits than its factorization.

431070408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 431070408 is about 20762.2351397917. The cubic root of 431070408 is about 755.4100125207.

The spelling of 431070408 in words is "four hundred thirty-one million, seventy thousand, four hundred eight".