306400064 has 56 divisors (see below), whose sum is σ = 621170208. Its totient is φ = 149926400.

The previous prime is 306400057. The next prime is 306400067. The reversal of 306400064 is 460004603.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306400067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 691427 + ... + 691869.

Almost surely, 2^306400064 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 306400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310585104).

306400064 is an abundant number, since it is smaller than the sum of its proper divisors (314770144).

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

306400064 is a wasteful number, since it uses less digits than its factorization.

306400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

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

The square root of 306400064 is about 17504.2870177565. The cubic root of 306400064 is about 674.1599528797.

Adding to 306400064 its reverse (460004603), we get a palindrome (766404667).

The spelling of 306400064 in words is "three hundred six million, four hundred thousand, sixty-four".