306406400 has 66 divisors (see below), whose sum is σ = 759580290. Its totient is φ = 122552320.

The previous prime is 306406379. The next prime is 306406481. The reversal of 306406400 is 4604603.

It can be written as a sum of positive squares in 3 ways, for example, as 16384 + 306390016 = 128^2 + 17504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19616 + ... + 31584.

Almost surely, 2^306406400 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 306406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379790145).

306406400 is an abundant number, since it is smaller than the sum of its proper divisors (453173890).

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

306406400 is a wasteful number, since it uses less digits than its factorization.

306406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11999 (or 11976 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 306406400 is about 17504.4680010562. The cubic root of 306406400 is about 674.1645997979.

The spelling of 306406400 in words is "three hundred six million, four hundred six thousand, four hundred".