220407210 has 128 divisors (see below), whose sum is σ = 642816000. Its totient is φ = 53498880.

The previous prime is 220407203. The next prime is 220407211. The reversal of 220407210 is 12704022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220407211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141516 + ... + 143064.

It is an arithmetic number, because the mean of its divisors is an integer number (5022000).

Almost surely, 2^220407210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220407210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408000).

220407210 is an abundant number, since it is smaller than the sum of its proper divisors (422408790).

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

220407210 is a wasteful number, since it uses less digits than its factorization.

220407210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 220407210 is about 14846.1176743282. The cubic root of 220407210 is about 604.0533061881.

The spelling of 220407210 in words is "two hundred twenty million, four hundred seven thousand, two hundred ten".