402336 has 72 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 120960.

The previous prime is 402331. The next prime is 402341. The reversal of 402336 is 633204.

It is an interprime number because it is at equal distance from previous prime (402331) and next prime (402341).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (402331) 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, 3105 + ... + 3231.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2⁴⁰²³³⁶ 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 402336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

402336 is an abundant number, since it is smaller than the sum of its proper divisors (855648).

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

402336 is a wasteful number, since it uses less digits than its factorization.

402336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 402336 is about 634.2996137473. The cubic root of 402336 is about 73.8237832880.

The spelling of 402336 in words is "four hundred two thousand, three hundred thirty-six".