431906688 has 128 divisors (see below), whose sum is σ = 1302336000. Its totient is φ = 140852736.

The previous prime is 431906681. The next prime is 431906693. The reversal of 431906688 is 886609134.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431906681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161103 + ... + 163761.

It is an arithmetic number, because the mean of its divisors is an integer number (10174500).

Almost surely, 2^431906688 is an apocalyptic number.

431906688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431906688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651168000).

431906688 is an abundant number, since it is smaller than the sum of its proper divisors (870429312).

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

431906688 is a wasteful number, since it uses less digits than its factorization.

431906688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 431906688 is about 20782.3648317510. The cubic root of 431906688 is about 755.8981974282.

The spelling of 431906688 in words is "four hundred thirty-one million, nine hundred six thousand, six hundred eighty-eight".