413360 has 20 divisors (see below), whose sum is σ = 961248. Its totient is φ = 165312.

The previous prime is 413353. The next prime is 413411. The reversal of 413360 is 63314.

413360 = T₅₉ + T₆₀ + ... + T₁₃₈.

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

413360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2504 + ... + 2663.

2⁴¹³³⁶⁰ is an apocalyptic number.

413360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413360 is an abundant number, since it is smaller than the sum of its proper divisors (547888).

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

413360 is a wasteful number, since it uses less digits than its factorization.

413360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 413360 is about 642.9307894323. The cubic root of 413360 is about 74.4919739713.

Adding to 413360 its reverse (63314), we get a palindrome (476674).

The spelling of 413360 in words is "four hundred thirteen thousand, three hundred sixty".