220240440 has 384 divisors, whose sum is σ = 891596160. Its totient is φ = 46006272.

The previous prime is 220240429. The next prime is 220240441. The reversal of 220240440 is 44042022.

220240440 = T₁₈₁ + T₁₈₂ + ... + T₁₀₉₈.

220240440 is a `hidden beast` number, since 220 + 2 + 4 + 0 + 440 = 666.

It is a super-2 number, since 2×220240440² = 97011702822787200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220240441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2270472 + ... + 2270568.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2^220240440 is an apocalyptic number.

220240440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 14840×14841.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445798080).

220240440 is an abundant number, since it is smaller than the sum of its proper divisors (671355720).

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

220240440 is a wasteful number, since it uses less digits than its factorization.

220240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 220240440 is about 14840.4999915771. The cubic root of 220240440 is about 603.9009164543.

Adding to 220240440 its reverse (44042022), we get a palindrome (264282462).

The spelling of 220240440 in words is "two hundred twenty million, two hundred forty thousand, four hundred forty".