413808 has 40 divisors (see below), whose sum is σ = 1102608. Its totient is φ = 133632.

The previous prime is 413807. The next prime is 413827. The reversal of 413808 is 808314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1660 + ... + 1892.

2⁴¹³⁸⁰⁸ is an apocalyptic number.

413808 is a gapful number since it is divisible by the number (48) 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 413808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551304).

413808 is an abundant number, since it is smaller than the sum of its proper divisors (688800).

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

413808 is a wasteful number, since it uses less digits than its factorization.

413808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 413808 is about 643.2790996138. The cubic root of 413808 is about 74.5188757480.

It can be divided in two parts, 413 and 808, that added together give a palindrome (1221).

The spelling of 413808 in words is "four hundred thirteen thousand, eight hundred eight".