220405344 has 48 divisors (see below), whose sum is σ = 587216448. Its totient is φ = 72369792.

The previous prime is 220405321. The next prime is 220405363. The reversal of 220405344 is 443504022.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

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, 10702 + ... + 23565.

It is an arithmetic number, because the mean of its divisors is an integer number (12233676).

Almost surely, 2^220405344 is an apocalyptic number.

220405344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220405344 is an abundant number, since it is smaller than the sum of its proper divisors (366811104).

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

220405344 is a wasteful number, since it uses less digits than its factorization.

220405344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34347 (or 34339 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 220405344 is about 14846.0548294825. The cubic root of 220405344 is about 604.0516015151.

Adding to 220405344 its reverse (443504022), we get a palindrome (663909366).

The spelling of 220405344 in words is "two hundred twenty million, four hundred five thousand, three hundred forty-four".