431988 has 12 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 143992.

The previous prime is 431983. The next prime is 431993. The reversal of 431988 is 889134.

It is an interprime number because it is at equal distance from previous prime (431983) and next prime (431993).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×431988² = 373227264288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431983) by changing a digit.

431988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17988 + ... + 18011.

It is an arithmetic number, because the mean of its divisors is an integer number (84000).

2⁴³¹⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

431988 is an abundant number, since it is smaller than the sum of its proper divisors (576012).

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

431988 is a wasteful number, since it uses less digits than its factorization.

431988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36006 (or 36004 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 431988 is about 657.2579402335. The cubic root of 431988 is about 75.5945630311.

The spelling of 431988 in words is "four hundred thirty-one thousand, nine hundred eighty-eight".