413515340 has 96 divisors (see below), whose sum is σ = 1034183808. Its totient is φ = 135936000.

The previous prime is 413515337. The next prime is 413515343. The reversal of 413515340 is 43515314.

It is an interprime number because it is at equal distance from previous prime (413515337) and next prime (413515343).

It is not an unprimeable number, because it can be changed into a prime (413515343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349550 + ... + 350730.

It is an arithmetic number, because the mean of its divisors is an integer number (10772748).

Almost surely, 2^413515340 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 413515340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517091904).

413515340 is an abundant number, since it is smaller than the sum of its proper divisors (620668468).

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

413515340 is a wasteful number, since it uses less digits than its factorization.

413515340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 413515340 is about 20335.0765919384. The cubic root of 413515340 is about 745.0130412263.

Subtracting from 413515340 its sum of digits (26), we obtain a palindrome (413515314).

The spelling of 413515340 in words is "four hundred thirteen million, five hundred fifteen thousand, three hundred forty".