402304 has 32 divisors (see below), whose sum is σ = 918000. Its totient is φ = 172032.

The previous prime is 402299. The next prime is 402307. The reversal of 402304 is 403204.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402307) by changing a digit.

402304 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 3 ways as a sum of consecutive naturals, for example, 672 + ... + 1120.

2⁴⁰²³⁰⁴ 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 402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459000).

402304 is an abundant number, since it is smaller than the sum of its proper divisors (515696).

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

402304 is an equidigital number, since it uses as much as digits as its factorization.

402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 402304 is about 634.2743885733. The cubic root of 402304 is about 73.8218260319.

Adding to 402304 its reverse (403204), we get a palindrome (805508).

Subtracting 402304 from its reverse (403204), we obtain a square (900 = 30²).

The spelling of 402304 in words is "four hundred two thousand, three hundred four", and thus it is an iban number.