220403840 has 64 divisors (see below), whose sum is σ = 528712920. Its totient is φ = 87859200.

The previous prime is 220403837. The next prime is 220403851. The reversal of 220403840 is 48304022.

It can be written as a sum of positive squares in 4 ways, for example, as 184307776 + 36096064 = 13576^2 + 6008^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×220403840³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333110 + ... + 333770.

Almost surely, 2^220403840 is an apocalyptic number.

220403840 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 220403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264356460).

220403840 is an abundant number, since it is smaller than the sum of its proper divisors (308309080).

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

220403840 is an equidigital number, since it uses as much as digits as its factorization.

220403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 220403840 is about 14846.0041762085. The cubic root of 220403840 is about 604.0502275380.

Adding to 220403840 its reverse (48304022), we get a palindrome (268707862).

The spelling of 220403840 in words is "two hundred twenty million, four hundred three thousand, eight hundred forty".