431970 has 96 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 84480.

The previous prime is 431947. The next prime is 431983. The reversal of 431970 is 79134.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 431970.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25402 + ... + 25418.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2⁴³¹⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

431970 is an abundant number, since it is smaller than the sum of its proper divisors (946974).

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

431970 is a wasteful number, since it uses less digits than its factorization.

431970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 431970 is about 657.2442468367. The cubic root of 431970 is about 75.5935130628.

Subtracting from 431970 its reverse (79134), we obtain a square (352836 = 594²).

The spelling of 431970 in words is "four hundred thirty-one thousand, nine hundred seventy".