220306440 has 64 divisors (see below), whose sum is σ = 667022400. Its totient is φ = 58205952.

The previous prime is 220306439. The next prime is 220306459. The reversal of 220306440 is 44603022.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4659 + ... + 21501.

It is an arithmetic number, because the mean of its divisors is an integer number (10422225).

Almost surely, 2^220306440 is an apocalyptic number.

220306440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220306440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333511200).

220306440 is an abundant number, since it is smaller than the sum of its proper divisors (446715960).

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

220306440 is a wasteful number, since it uses less digits than its factorization.

220306440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16966 (or 16962 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 220306440 is about 14842.7234697679. The cubic root of 220306440 is about 603.9612345923.

Adding to 220306440 its reverse (44603022), we get a palindrome (264909462).

The spelling of 220306440 in words is "two hundred twenty million, three hundred six thousand, four hundred forty".