431211648 has 128 divisors (see below), whose sum is σ = 1331712000. Its totient is φ = 121070592.

The previous prime is 431211577. The next prime is 431211661. The reversal of 431211648 is 846112134.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157233 + ... + 159951.

It is an arithmetic number, because the mean of its divisors is an integer number (10404000).

Almost surely, 2^431211648 is an apocalyptic number.

431211648 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 431211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665856000).

431211648 is an abundant number, since it is smaller than the sum of its proper divisors (900500352).

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

431211648 is a wasteful number, since it uses less digits than its factorization.

431211648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2790 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 431211648 is about 20765.6362291166. The cubic root of 431211648 is about 755.4925067471.

The spelling of 431211648 in words is "four hundred thirty-one million, two hundred eleven thousand, six hundred forty-eight".