220309440 has 224 divisors, whose sum is σ = 764682240. Its totient is φ = 53415936.

The previous prime is 220309429. The next prime is 220309447. The reversal of 220309440 is 44903022.

It is a happy number.

It is a super-2 number, since 2×220309440² = 97072498706227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 220309440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220309447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1584891 + ... + 1585029.

It is an arithmetic number, because the mean of its divisors is an integer number (3413760).

Almost surely, 2^220309440 is an apocalyptic number.

220309440 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 220309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382341120).

220309440 is an abundant number, since it is smaller than the sum of its proper divisors (544372800).

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

220309440 is a wasteful number, since it uses less digits than its factorization.

220309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 220309440 is about 14842.8245290443. The cubic root of 220309440 is about 603.9639760396.

The spelling of 220309440 in words is "two hundred twenty million, three hundred nine thousand, four hundred forty".