431320 has 32 divisors (see below), whose sum is σ = 997920. Its totient is φ = 167680.

The previous prime is 431311. The next prime is 431329. The reversal of 431320 is 23134.

It is an interprime number because it is at equal distance from previous prime (431311) and next prime (431329).

It is a self number, because there is not a number n which added to its sum of digits gives 431320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431329) by changing a digit.

431320 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 7 ways as a sum of consecutive naturals, for example, 1509 + ... + 1771.

It is an arithmetic number, because the mean of its divisors is an integer number (31185).

2⁴³¹³²⁰ is an apocalyptic number.

431320 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 431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498960).

431320 is an abundant number, since it is smaller than the sum of its proper divisors (566600).

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

431320 is a wasteful number, since it uses less digits than its factorization.

431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 431320 is about 656.7495717547. The cubic root of 431320 is about 75.5555779828. Note that the first 4 decimals are identical.

Adding to 431320 its reverse (23134), we get a palindrome (454454).

The spelling of 431320 in words is "four hundred thirty-one thousand, three hundred twenty".