413680 has 20 divisors (see below), whose sum is σ = 961992. Its totient is φ = 165440.

The previous prime is 413653. The next prime is 413681. The reversal of 413680 is 86314.

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

It is a super-2 number, since 2×413680² = 342262284800, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413681) by changing a digit.

413680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2506 + ... + 2665.

2⁴¹³⁶⁸⁰ is an apocalyptic number.

413680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413680 is an abundant number, since it is smaller than the sum of its proper divisors (548312).

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

413680 is a wasteful number, since it uses less digits than its factorization.

413680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 413680 is about 643.1796016666. The cubic root of 413680 is about 74.5111915082.

Adding to 413680 its reverse (86314), we get a palindrome (499994).

It can be divided in two parts, 41 and 3680, that added together give a square (3721 = 61²).

The spelling of 413680 in words is "four hundred thirteen thousand, six hundred eighty".