413113344 has 88 divisors (see below), whose sum is σ = 1258462848. Its totient is φ = 118026240.

The previous prime is 413113343. The next prime is 413113367. The reversal of 413113344 is 443311314.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413113343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11899 + ... + 31109.

Almost surely, 2^413113344 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 413113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629231424).

413113344 is an abundant number, since it is smaller than the sum of its proper divisors (845349504).

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

413113344 is a wasteful number, since it uses less digits than its factorization.

413113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19241 (or 19223 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 413113344 is about 20325.1898884119. The cubic root of 413113344 is about 744.7715432408.

Adding to 413113344 its reverse (443311314), we get a palindrome (856424658).

The spelling of 413113344 in words is "four hundred thirteen million, one hundred thirteen thousand, three hundred forty-four".