413102340 has 144 divisors (see below), whose sum is σ = 1461532800. Its totient is φ = 94409280.

The previous prime is 413102323. The next prime is 413102357. The reversal of 413102340 is 43201314.

It is an interprime number because it is at equal distance from previous prime (413102323) and next prime (413102357).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58395 + ... + 65085.

Almost surely, 2^413102340 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 413102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730766400).

413102340 is an abundant number, since it is smaller than the sum of its proper divisors (1048430460).

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

413102340 is a wasteful number, since it uses less digits than its factorization.

413102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6727 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413102340 is about 20324.9191880312. The cubic root of 413102340 is about 744.7649304158.

Adding to 413102340 its reverse (43201314), we get a palindrome (456303654).

The spelling of 413102340 in words is "four hundred thirteen million, one hundred two thousand, three hundred forty".