402434304 has 72 divisors (see below), whose sum is σ = 1093948800. Its totient is φ = 131278848.

The previous prime is 402434299. The next prime is 402434413. The reversal of 402434304 is 403434204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30522 + ... + 41670.

Almost surely, 2^402434304 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 402434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546974400).

402434304 is an abundant number, since it is smaller than the sum of its proper divisors (691514496).

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

402434304 is a wasteful number, since it uses less digits than its factorization.

402434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11215 (or 11201 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 402434304 is about 20060.7652894898. The cubic root of 402434304 is about 738.2979532949.

Adding to 402434304 its reverse (403434204), we get a palindrome (805868508).

The spelling of 402434304 in words is "four hundred two million, four hundred thirty-four thousand, three hundred four".