431420032 has 64 divisors (see below), whose sum is σ = 889162560. Its totient is φ = 208373760.

The previous prime is 431419991. The next prime is 431420051. The reversal of 431420032 is 230024134.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×431420032² = 372246488021762048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431419991 and 431420009.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566532 + ... + 567292.

It is an arithmetic number, because the mean of its divisors is an integer number (13893165).

Almost surely, 2^431420032 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 431420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444581280).

431420032 is an abundant number, since it is smaller than the sum of its proper divisors (457742528).

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

431420032 is a wasteful number, since it uses less digits than its factorization.

431420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 431420032 is about 20770.6531433174. The cubic root of 431420032 is about 755.6141849672.

Adding to 431420032 its reverse (230024134), we get a palindrome (661444166).

The spelling of 431420032 in words is "four hundred thirty-one million, four hundred twenty thousand, thirty-two".