431988984 has 64 divisors (see below), whose sum is σ = 1371398400. Its totient is φ = 123424992.

The previous prime is 431988971. The next prime is 431989031. The reversal of 431988984 is 489889134.

It is a super-2 number, since 2×431988984² = 373228964594704512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 431988984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141342 + ... + 144365.

It is an arithmetic number, because the mean of its divisors is an integer number (21428100).

Almost surely, 2^431988984 is an apocalyptic number.

It is an amenable number.

431988984 is an abundant number, since it is smaller than the sum of its proper divisors (939409416).

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

431988984 is a wasteful number, since it uses less digits than its factorization.

431988984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285729 (or 285719 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 431988984 is about 20784.3446853635. The cubic root of 431988984 is about 755.9462042850.

The spelling of 431988984 in words is "four hundred thirty-one million, nine hundred eighty-eight thousand, nine hundred eighty-four".