431940 has 48 divisors (see below), whose sum is σ = 1266048. Its totient is φ = 109824.

The previous prime is 431933. The next prime is 431947. The reversal of 431940 is 49134.

It is an interprime number because it is at equal distance from previous prime (431933) and next prime (431947).

It is not an unprimeable number, because it can be changed into a prime (431947) by changing a digit.

431940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1224 + ... + 1536.

It is an arithmetic number, because the mean of its divisors is an integer number (26376).

2⁴³¹⁹⁴⁰ 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 431940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633024).

431940 is an abundant number, since it is smaller than the sum of its proper divisors (834108).

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

431940 is a wasteful number, since it uses less digits than its factorization.

431940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 431940 is about 657.2214238748. The cubic root of 431940 is about 75.5917630510.

The spelling of 431940 in words is "four hundred thirty-one thousand, nine hundred forty".