431160 has 32 divisors (see below), whose sum is σ = 1293840. Its totient is φ = 114944.

The previous prime is 431153. The next prime is 431173. The reversal of 431160 is 61134.

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

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 431160.

It is an unprimeable number.

431160 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, 1677 + ... + 1916.

2⁴³¹¹⁶⁰ is an apocalyptic number.

431160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431160 is an abundant number, since it is smaller than the sum of its proper divisors (862680).

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

431160 is a wasteful number, since it uses less digits than its factorization.

431160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 431160 is about 656.6277484237. The cubic root of 431160 is about 75.5462342724.

Adding to 431160 its reverse (61134), we get a palindrome (492294).

It can be divided in two parts, 4311 and 60, that added together give a triangular number (4371 = T₉₃).

The spelling of 431160 in words is "four hundred thirty-one thousand, one hundred sixty".