402002304 has 128 divisors (see below), whose sum is σ = 1226448000. Its totient is φ = 115384320.

The previous prime is 402002287. The next prime is 402002311. The reversal of 402002304 is 403200204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77752 + ... + 82760.

It is an arithmetic number, because the mean of its divisors is an integer number (9581625).

Almost surely, 2^402002304 is an apocalyptic number.

402002304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613224000).

402002304 is an abundant number, since it is smaller than the sum of its proper divisors (824445696).

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

402002304 is a wasteful number, since it uses less digits than its factorization.

402002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 402002304 is about 20049.9951122189. The cubic root of 402002304 is about 738.0336791792.

Adding to 402002304 its reverse (403200204), we get a palindrome (805202508).

The spelling of 402002304 in words is "four hundred two million, two thousand, three hundred four".