413640 has 64 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 110016.

The previous prime is 413629. The next prime is 413653. The reversal of 413640 is 46314.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2⁴¹³⁶⁴⁰ is an apocalyptic number.

413640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

413640 is an abundant number, since it is smaller than the sum of its proper divisors (968760).

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

413640 is a wasteful number, since it uses less digits than its factorization.

413640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

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

The square root of 413640 is about 643.1485054014. The cubic root of 413640 is about 74.5087898582.

Adding to 413640 its reverse (46314), we get a palindrome (459954).

The spelling of 413640 in words is "four hundred thirteen thousand, six hundred forty".