42408 has 48 divisors (see below), whose sum is σ = 124800. Its totient is φ = 12960.

The previous prime is 42407. The next prime is 42409. The reversal of 42408 is 80424.

It is a happy number.

42408 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (42407) and next prime (42409).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42403) 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 11 ways as a sum of consecutive naturals, for example, 1353 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (2600).

2⁴²⁴⁰⁸ 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 42408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62400).

42408 is an abundant number, since it is smaller than the sum of its proper divisors (82392).

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

42408 is a wasteful number, since it uses less digits than its factorization.

42408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42408 is about 205.9320276208. The cubic root of 42408 is about 34.8724609860.

The spelling of 42408 in words is "forty-two thousand, four hundred eight".