170408 has 32 divisors (see below), whose sum is σ = 388800. Its totient is φ = 68352.

The previous prime is 170393. The next prime is 170413. The reversal of 170408 is 804071.

170408 = 92² + 93² + ... + 108².

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 170408.

It is an unprimeable number.

170408 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 7 ways as a sum of consecutive naturals, for example, 863 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2¹⁷⁰⁴⁰⁸ 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 170408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194400).

170408 is an abundant number, since it is smaller than the sum of its proper divisors (218392).

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

170408 is a wasteful number, since it uses less digits than its factorization.

170408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 170408 is about 412.8050387289. The cubic root of 170408 is about 55.4408644270.

Adding to 170408 its reverse (804071), we get a palindrome (974479).

The spelling of 170408 in words is "one hundred seventy thousand, four hundred eight".