413144340 has 96 divisors (see below), whose sum is σ = 1335823104. Its totient is φ = 93450240.

The previous prime is 413144323. The next prime is 413144363. The reversal of 413144340 is 43441314.

It is a self number, because there is not a number n which added to its sum of digits gives 413144340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35670 + ... + 45810.

It is an arithmetic number, because the mean of its divisors is an integer number (13914824).

Almost surely, 2^413144340 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 413144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667911552).

413144340 is an abundant number, since it is smaller than the sum of its proper divisors (922678764).

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

413144340 is a wasteful number, since it uses less digits than its factorization.

413144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10257 (or 10255 counting only the distinct ones).

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

The square root of 413144340 is about 20325.9523762111. The cubic root of 413144340 is about 744.7901695749.

Adding to 413144340 its reverse (43441314), we get a palindrome (456585654).

It can be divided in two parts, 41314 and 4340, that added together give a palindrome (45654).

The spelling of 413144340 in words is "four hundred thirteen million, one hundred forty-four thousand, three hundred forty".