402408 has 64 divisors (see below), whose sum is σ = 1180800. Its totient is φ = 128304.

The previous prime is 402403. The next prime is 402419. The reversal of 402408 is 804204.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402403) by changing a digit.

402408 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 15 ways as a sum of consecutive naturals, for example, 17485 + ... + 17507.

It is an arithmetic number, because the mean of its divisors is an integer number (18450).

2⁴⁰²⁴⁰⁸ 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 402408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590400).

402408 is an abundant number, since it is smaller than the sum of its proper divisors (778392).

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

402408 is an equidigital number, since it uses as much as digits as its factorization.

402408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 28 counting only the distinct ones).

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

The square root of 402408 is about 634.3563667214. The cubic root of 402408 is about 73.8281867346.

The spelling of 402408 in words is "four hundred two thousand, four hundred eight".