302000400306 has 96 divisors (see below), whose sum is σ = 716427968256. Its totient is φ = 91181376000.

The previous prime is 302000400241. The next prime is 302000400311. The reversal of 302000400306 is 603004000203.

302000400306 is a `hidden beast` number, since 30 + 200 + 0 + 400 + 30 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96762426 + ... + 96765546.

It is an arithmetic number, because the mean of its divisors is an integer number (7462791336).

Almost surely, 2^302000400306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302000400306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358213984128).

302000400306 is an abundant number, since it is smaller than the sum of its proper divisors (414427567950).

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

302000400306 is a wasteful number, since it uses less digits than its factorization.

302000400306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 4765 counting only the distinct ones).

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

Adding to 302000400306 its reverse (603004000203), we get a palindrome (905004400509).

The spelling of 302000400306 in words is "three hundred two billion, four hundred thousand, three hundred six".