411315444 has 72 divisors (see below), whose sum is σ = 1071383040. Its totient is φ = 132969600.

The previous prime is 411315413. The next prime is 411315449. The reversal of 411315444 is 444513114.

411315444 is a `hidden beast` number, since 4 + 113 + 1 + 544 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411315449) 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, 281187 + ... + 282645.

It is an arithmetic number, because the mean of its divisors is an integer number (14880320).

Almost surely, 2^411315444 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 411315444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535691520).

411315444 is an abundant number, since it is smaller than the sum of its proper divisors (660067596).

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

411315444 is a wasteful number, since it uses less digits than its factorization.

411315444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1696 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 411315444 is about 20280.9132930448. The cubic root of 411315444 is about 743.6895383470.

Adding to 411315444 its reverse (444513114), we get a palindrome (855828558).

The spelling of 411315444 in words is "four hundred eleven million, three hundred fifteen thousand, four hundred forty-four".