411313224 has 64 divisors (see below), whose sum is σ = 1191767040. Its totient is φ = 115859520.

The previous prime is 411313193. The next prime is 411313241. The reversal of 411313224 is 422313114.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 411313224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5314 + ... + 29169.

It is an arithmetic number, because the mean of its divisors is an integer number (18621360).

Almost surely, 2^411313224 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 411313224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595883520).

411313224 is an abundant number, since it is smaller than the sum of its proper divisors (780453816).

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

411313224 is a wasteful number, since it uses less digits than its factorization.

411313224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34570 (or 34566 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 411313224 is about 20280.8585617079. The cubic root of 411313224 is about 743.6882003685.

Adding to 411313224 its reverse (422313114), we get a palindrome (833626338).

The spelling of 411313224 in words is "four hundred eleven million, three hundred thirteen thousand, two hundred twenty-four".