220433409 has 45 divisors (see below), whose sum is σ = 375163139. Its totient is φ = 124714800.

The previous prime is 220433401. The next prime is 220433429. The reversal of 220433409 is 904334022.

It is a happy number.

The square root of 220433409 is 14847.

It is a perfect power (a square), and thus also a powerful number.

220433409 is a `hidden beast` number, since 220 + 4 + 33 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211789809 + 8643600 = 14553^2 + 2940^2 .

It is not a de Polignac number, because 220433409 - 2³ = 220433401 is a prime.

It is a super-2 number, since 2×220433409² = 97181775606722562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220433401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2182459 + ... + 2182559.

Almost surely, 2^220433409 is an apocalyptic number.

220433409 is the 14847-th square number.

220433409 is the 7424-th centered octagonal number.

It is an amenable number.

220433409 is a deficient number, since it is larger than the sum of its proper divisors (154729730).

220433409 is an frugal number, since it uses more digits than its factorization.

220433409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The cubic root of 220433409 is about 604.0772391099.

Multiplying 220433409 by its product of nonzero digits (5184), we get a square (1142726792256 = 1068984²).

It can be divided in two parts, 22043 and 3409, that added together give a palindrome (25452).

The spelling of 220433409 in words is "two hundred twenty million, four hundred thirty-three thousand, four hundred nine".