413518140 has 144 divisors (see below), whose sum is σ = 1440234432. Its totient is φ = 94076928.

The previous prime is 413518111. The next prime is 413518141. The reversal of 413518140 is 41815314.

It is a happy number.

413518140 is a `hidden beast` number, since 4 + 1 + 3 + 518 + 140 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413518141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323182 + ... + 324458.

It is an arithmetic number, because the mean of its divisors is an integer number (10001628).

Almost surely, 2^413518140 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 413518140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720117216).

413518140 is an abundant number, since it is smaller than the sum of its proper divisors (1026716292).

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

413518140 is a wasteful number, since it uses less digits than its factorization.

413518140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 413518140 is about 20335.1454383784. The cubic root of 413518140 is about 745.0147227696.

The spelling of 413518140 in words is "four hundred thirteen million, five hundred eighteen thousand, one hundred forty".