306421164400 has 120 divisors (see below), whose sum is σ = 800216689104. Its totient is φ = 112082534400.

The previous prime is 306421164389. The next prime is 306421164407. The reversal of 306421164400 is 4461124603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306421164407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281040 + ... + 831760.

Almost surely, 2^306421164400 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 306421164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400108344552).

306421164400 is an abundant number, since it is smaller than the sum of its proper divisors (493795524704).

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

306421164400 is a wasteful number, since it uses less digits than its factorization.

306421164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550859 (or 550848 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 306421164400 in words is "three hundred six billion, four hundred twenty-one million, one hundred sixty-four thousand, four hundred".