306440064 has 256 divisors, whose sum is σ = 1057536000. Its totient is φ = 85542912.

The previous prime is 306440039. The next prime is 306440087. The reversal of 306440064 is 460044603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1282057 + ... + 1282295.

It is an arithmetic number, because the mean of its divisors is an integer number (4131000).

Almost surely, 2^306440064 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 306440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528768000).

306440064 is an abundant number, since it is smaller than the sum of its proper divisors (751095936).

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

306440064 is a wasteful number, since it uses less digits than its factorization.

306440064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 306440064 is about 17505.4295577115. The cubic root of 306440064 is about 674.1892884097.

Adding to 306440064 its reverse (460044603), we get a palindrome (766484667).

The spelling of 306440064 in words is "three hundred six million, four hundred forty thousand, sixty-four".