431620224 has 256 divisors, whose sum is σ = 1395360000. Its totient is φ = 118013952.

The previous prime is 431620219. The next prime is 431620237. The reversal of 431620224 is 422026134.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 431620194 and 431620203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3819592 + ... + 3819704.

It is an arithmetic number, because the mean of its divisors is an integer number (5450625).

Almost surely, 2^431620224 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 431620224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697680000).

431620224 is an abundant number, since it is smaller than the sum of its proper divisors (963739776).

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

431620224 is a wasteful number, since it uses less digits than its factorization.

431620224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 431620224 is about 20775.4716913961. The cubic root of 431620224 is about 755.7310428722.

Adding to 431620224 its reverse (422026134), we get a palindrome (853646358).

The spelling of 431620224 in words is "four hundred thirty-one million, six hundred twenty thousand, two hundred twenty-four".