431520 has 96 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 107520.

The previous prime is 431513. The next prime is 431521. The reversal of 431520 is 25134.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 431520.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431520.

It is not an unprimeable number, because it can be changed into a prime (431521) by changing a digit.

431520 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, 13905 + ... + 13935.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2⁴³¹⁵²⁰ is an apocalyptic number.

431520 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 431520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

431520 is an abundant number, since it is smaller than the sum of its proper divisors (1020000).

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

431520 is a wasteful number, since it uses less digits than its factorization.

431520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 431520 is about 656.9018191480. The cubic root of 431520 is about 75.5672543720.

Adding to 431520 its reverse (25134), we get a palindrome (456654).

The spelling of 431520 in words is "four hundred thirty-one thousand, five hundred twenty".