431221648 has 160 divisors (see below), whose sum is σ = 1041183360. Its totient is φ = 170311680.

The previous prime is 431221639. The next prime is 431221649. The reversal of 431221648 is 846122134.

It is a super-3 number, since 3×431221648³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (431221649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4445536 + ... + 4445632.

It is an arithmetic number, because the mean of its divisors is an integer number (6507396).

Almost surely, 2^431221648 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 431221648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520591680).

431221648 is an abundant number, since it is smaller than the sum of its proper divisors (609961712).

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

431221648 is a wasteful number, since it uses less digits than its factorization.

431221648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 431221648 is about 20765.8770101337. The cubic root of 431221648 is about 755.4983467770.

The spelling of 431221648 in words is "four hundred thirty-one million, two hundred twenty-one thousand, six hundred forty-eight".