405221232 has 80 divisors (see below), whose sum is σ = 1131017888. Its totient is φ = 124277760.

The previous prime is 405221209. The next prime is 405221233. The reversal of 405221232 is 232122504.

It is a junction number, because it is equal to n+sod(n) for n = 405221199 and 405221208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405221233) 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, 231882 + ... + 233622.

Almost surely, 2^405221232 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 405221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565508944).

405221232 is an abundant number, since it is smaller than the sum of its proper divisors (725796656).

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

405221232 is a wasteful number, since it uses less digits than its factorization.

405221232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 405221232 is about 20130.1076003085. The cubic root of 405221232 is about 739.9983150680.

Adding to 405221232 its reverse (232122504), we get a palindrome (637343736).

The spelling of 405221232 in words is "four hundred five million, two hundred twenty-one thousand, two hundred thirty-two".