220406652 has 72 divisors (see below), whose sum is σ = 589260672. Its totient is φ = 69350400.

The previous prime is 220406651. The next prime is 220406653. The reversal of 220406652 is 256604022.

220406652 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 0 + 6 + 652 = 666.

220406652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220406651) and next prime (220406653).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220406651) 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, 43348 + ... + 48164.

It is an arithmetic number, because the mean of its divisors is an integer number (8184176).

Almost surely, 2^220406652 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 220406652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294630336).

220406652 is an abundant number, since it is smaller than the sum of its proper divisors (368854020).

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

220406652 is a wasteful number, since it uses less digits than its factorization.

220406652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 220406652 is about 14846.0988815244. The cubic root of 220406652 is about 604.0527964316.

The spelling of 220406652 in words is "two hundred twenty million, four hundred six thousand, six hundred fifty-two".