220424040 has 96 divisors (see below), whose sum is σ = 758539080. Its totient is φ = 55320576.

The previous prime is 220424033. The next prime is 220424047. The reversal of 220424040 is 40424022.

220424040 is a `hidden beast` number, since 220 + 42 + 404 + 0 = 666.

220424040 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 (220424033) and next prime (220424047).

It can be written as a sum of positive squares in 4 ways, for example, as 200335716 + 20088324 = 14154^2 + 4482^2 .

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 (220424047) 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, 11889 + ... + 24128.

Almost surely, 2^220424040 is an apocalyptic number.

220424040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220424040 is an abundant number, since it is smaller than the sum of its proper divisors (538115040).

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

220424040 is a wasteful number, since it uses less digits than its factorization.

220424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36051 (or 36044 counting only the distinct ones).

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

The square root of 220424040 is about 14846.6844783608. The cubic root of 220424040 is about 604.0686806979.

Subtracting from 220424040 its sum of digits (18), we obtain a palindrome (220424022).

Adding to 220424040 its reverse (40424022), we get a palindrome (260848062).

It can be divided in two parts, 2204 and 24040, that added together give a square (26244 = 162²).

The spelling of 220424040 in words is "two hundred twenty million, four hundred twenty-four thousand, forty".