117408 has 24 divisors (see below), whose sum is σ = 308448. Its totient is φ = 39104.

The previous prime is 117389. The next prime is 117413. The reversal of 117408 is 804711.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 516 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (12852).

2¹¹⁷⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

117408 is an abundant number, since it is smaller than the sum of its proper divisors (191040).

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

117408 is a wasteful number, since it uses less digits than its factorization.

117408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 117408 is about 342.6485079495. The cubic root of 117408 is about 48.9665188466.

It can be divided in two parts, 117 and 408, that added together give a palindrome (525).

The spelling of 117408 in words is "one hundred seventeen thousand, four hundred eight".