413344140 has 96 divisors (see below), whose sum is σ = 1267612416. Its totient is φ = 99805440.

The previous prime is 413344121. The next prime is 413344153. The reversal of 413344140 is 41443314.

It is a self number, because there is not a number n which added to its sum of digits gives 413344140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185674 + ... + 187886.

It is an arithmetic number, because the mean of its divisors is an integer number (13204296).

Almost surely, 2^413344140 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 413344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633806208).

413344140 is an abundant number, since it is smaller than the sum of its proper divisors (854268276).

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

413344140 is a wasteful number, since it uses less digits than its factorization.

413344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2517 counting only the distinct ones).

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

The square root of 413344140 is about 20330.8666809853. The cubic root of 413344140 is about 744.9102124424.

Adding to 413344140 its reverse (41443314), we get a palindrome (454787454).

The spelling of 413344140 in words is "four hundred thirteen million, three hundred forty-four thousand, one hundred forty".