220409604 has 72 divisors (see below), whose sum is σ = 580638240. Its totient is φ = 70435200.

The previous prime is 220409603. The next prime is 220409611. The reversal of 220409604 is 406904022.

It is not an unprimeable number, because it can be changed into a prime (220409603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85819 + ... + 88349.

It is an arithmetic number, because the mean of its divisors is an integer number (8064420).

Almost surely, 2^220409604 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 220409604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290319120).

220409604 is an abundant number, since it is smaller than the sum of its proper divisors (360228636).

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

220409604 is a wasteful number, since it uses less digits than its factorization.

220409604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 220409604 is about 14846.1983012487. The cubic root of 220409604 is about 604.0554931982.

The spelling of 220409604 in words is "two hundred twenty million, four hundred nine thousand, six hundred four".