413340144 has 80 divisors (see below), whose sum is σ = 1231849728. Its totient is φ = 116983296.

The previous prime is 413340139. The next prime is 413340167. The reversal of 413340144 is 441043314.

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

It is a congruent number.

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, 30204 + ... + 41700.

Almost surely, 2^413340144 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 413340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615924864).

413340144 is an abundant number, since it is smaller than the sum of its proper divisors (818509584).

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

413340144 is a wasteful number, since it uses less digits than its factorization.

413340144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11622 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 413340144 is about 20330.7684065310. The cubic root of 413340144 is about 744.9078119642.

Adding to 413340144 its reverse (441043314), we get a palindrome (854383458).

The spelling of 413340144 in words is "four hundred thirteen million, three hundred forty thousand, one hundred forty-four".