413288 has 16 divisors (see below), whose sum is σ = 816000. Its totient is φ = 195696.

The previous prime is 413267. The next prime is 413293. The reversal of 413288 is 882314.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is an unprimeable number.

413288 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, 1208 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (51000).

2⁴¹³²⁸⁸ is an apocalyptic number.

It is an amenable number.

413288 is a deficient number, since it is larger than the sum of its proper divisors (402712).

413288 is a wasteful number, since it uses less digits than its factorization.

413288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2740 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 413288 is about 642.8747934085. The cubic root of 413288 is about 74.4876486588.

Adding to 413288 its sum of digits (26), we get a palindrome (413314).

The spelling of 413288 in words is "four hundred thirteen thousand, two hundred eighty-eight".