431460 has 96 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 105984.

The previous prime is 431449. The next prime is 431479. The reversal of 431460 is 64134.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9157 + ... + 9203.

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

2⁴³¹⁴⁶⁰ 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 431460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

431460 is an abundant number, since it is smaller than the sum of its proper divisors (1020060).

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

431460 is a wasteful number, since it uses less digits than its factorization.

431460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 431460 is about 656.8561486353. The cubic root of 431460 is about 75.5637518341.

Adding to 431460 its reverse (64134), we get a palindrome (495594).

It can be divided in two parts, 4314 and 60, that multiplied together give a triangular number (258840 = T₇₁₉).

The spelling of 431460 in words is "four hundred thirty-one thousand, four hundred sixty".