220405932 has 72 divisors (see below), whose sum is σ = 570609312. Its totient is φ = 71712000.

The previous prime is 220405931. The next prime is 220405943. The reversal of 220405932 is 239504022.

220405932 is a `hidden beast` number, since 220 + 405 + 9 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 220405896 and 220405905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220405931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366432 + ... + 367032.

Almost surely, 2^220405932 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 220405932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285304656).

220405932 is an abundant number, since it is smaller than the sum of its proper divisors (350203380).

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

220405932 is a wasteful number, since it uses less digits than its factorization.

220405932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 220405932 is about 14846.0746327102. The cubic root of 220405932 is about 604.0521386800.

Adding to 220405932 its reverse (239504022), we get a palindrome (459909954).

It can be divided in two parts, 22040 and 5932, that added together give a palindrome (27972).

The spelling of 220405932 in words is "two hundred twenty million, four hundred five thousand, nine hundred thirty-two".