431988336 has 240 divisors, whose sum is σ = 1378765920. Its totient is φ = 129392640.

The previous prime is 431988311. The next prime is 431988391. The reversal of 431988336 is 633889134.

It is a super-2 number, since 2×431988336² = 373227844880097792, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 431988291 and 431988300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4453440 + ... + 4453536.

It is an arithmetic number, because the mean of its divisors is an integer number (5744858).

Almost surely, 2^431988336 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 431988336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689382960).

431988336 is an abundant number, since it is smaller than the sum of its proper divisors (946777584).

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

431988336 is a wasteful number, since it uses less digits than its factorization.

431988336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 431988336 is about 20784.3290967017. The cubic root of 431988336 is about 755.9458263020.

The spelling of 431988336 in words is "four hundred thirty-one million, nine hundred eighty-eight thousand, three hundred thirty-six".