431288 has 48 divisors (see below), whose sum is σ = 988200. Its totient is φ = 174720.

The previous prime is 431287. The next prime is 431297. The reversal of 431288 is 882134.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14858 + ... + 14886.

2⁴³¹²⁸⁸ 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 431288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494100).

431288 is an abundant number, since it is smaller than the sum of its proper divisors (556912).

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

431288 is a wasteful number, since it uses less digits than its factorization.

431288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 55 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 431288 is about 656.7252088964. The cubic root of 431288 is about 75.5537094256.

It can be divided in two parts, 4312 and 88, that multiplied together give a square (379456 = 616²).

The spelling of 431288 in words is "four hundred thirty-one thousand, two hundred eighty-eight".