411344220 has 144 divisors (see below), whose sum is σ = 1348951968. Its totient is φ = 93381120.

The previous prime is 411344209. The next prime is 411344221. The reversal of 411344220 is 22443114.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411344221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531754 + ... + 532526.

It is an arithmetic number, because the mean of its divisors is an integer number (9367722).

Almost surely, 2^411344220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411344220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674475984).

411344220 is an abundant number, since it is smaller than the sum of its proper divisors (937607748).

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

411344220 is a wasteful number, since it uses less digits than its factorization.

411344220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 411344220 is about 20281.6227161438. The cubic root of 411344220 is about 743.7068810066.

Adding to 411344220 its reverse (22443114), we get a palindrome (433787334).

It can be divided in two parts, 41134 and 4220, that added together give a palindrome (45354).

The spelling of 411344220 in words is "four hundred eleven million, three hundred forty-four thousand, two hundred twenty".