413340 has 36 divisors (see below), whose sum is σ = 1171464. Its totient is φ = 108896.

The previous prime is 413299. The next prime is 413353. The reversal of 413340 is 43314.

413340 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4939 + ... + 5021.

2⁴¹³³⁴⁰ 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 413340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585732).

413340 is an abundant number, since it is smaller than the sum of its proper divisors (758124).

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

413340 is a wasteful number, since it uses less digits than its factorization.

413340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 413340 is about 642.9152354704. The cubic root of 413340 is about 74.4907725460.

Multiplying 413340 by its sum of digits (15), we get a square (6200100 = 2490²).

413340 divided by its sum of digits (15) gives a square (27556 = 166²).

Adding to 413340 its reverse (43314), we get a palindrome (456654).

The spelling of 413340 in words is "four hundred thirteen thousand, three hundred forty".