120408 has 32 divisors (see below), whose sum is σ = 313200. Its totient is φ = 38528.

The previous prime is 120401. The next prime is 120413. The reversal of 120408 is 804021.

It is a Cunningham number, because it is equal to 347²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 610 + ... + 782.

2¹²⁰⁴⁰⁸ 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 120408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156600).

120408 is an abundant number, since it is smaller than the sum of its proper divisors (192792).

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

120408 is a wasteful number, since it uses less digits than its factorization.

120408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 120408 is about 346.9985590748. The cubic root of 120408 is about 49.3800790588.

Adding to 120408 its reverse (804021), we get a palindrome (924429).

It can be divided in two parts, 120 and 408, that added together give a triangular number (528 = T₃₂).

The spelling of 120408 in words is "one hundred twenty thousand, four hundred eight".