413341541 has 24 divisors (see below), whose sum is σ = 447796104. Its totient is φ = 380989440.

The previous prime is 413341531. The next prime is 413341567. The reversal of 413341541 is 145143314.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 24108100 + 389233441 = 4910^2 + 19729^2 .

It is a de Polignac number, because none of the positive numbers 2^k-413341541 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 413341541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413341531) 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, 4261205 + ... + 4261301.

It is an arithmetic number, because the mean of its divisors is an integer number (18658171).

Almost surely, 2^413341541 is an apocalyptic number.

413341541 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

413341541 is a deficient number, since it is larger than the sum of its proper divisors (34454563).

413341541 is an equidigital number, since it uses as much as digits as its factorization.

413341541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 228 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 413341541 is about 20330.8027632949. The cubic root of 413341541 is about 744.9086511722.

Adding to 413341541 its reverse (145143314), we get a palindrome (558484855).

It can be divided in two parts, 41334 and 1541, that added together give a cube (42875 = 35³).

The spelling of 413341541 in words is "four hundred thirteen million, three hundred forty-one thousand, five hundred forty-one".