305072064 has 168 divisors, whose sum is σ = 966429360. Its totient is φ = 91238400.

The previous prime is 305072063. The next prime is 305072077. The reversal of 305072064 is 460270503.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305072063) 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, 563634 + ... + 564174.

Almost surely, 2^305072064 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 305072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483214680).

305072064 is an abundant number, since it is smaller than the sum of its proper divisors (661357296).

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

305072064 is a wasteful number, since it uses less digits than its factorization.

305072064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 305072064 is about 17466.3122610355. The cubic root of 305072064 is about 673.1845603626.

The spelling of 305072064 in words is "three hundred five million, seventy-two thousand, sixty-four".