305948664 has 96 divisors (see below), whose sum is σ = 982101120. Its totient is φ = 87410016.

The previous prime is 305948663. The next prime is 305948693. The reversal of 305948664 is 466849503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305948663) 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, 2367 + ... + 24849.

It is an arithmetic number, because the mean of its divisors is an integer number (10230220).

Almost surely, 2^305948664 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 305948664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491050560).

305948664 is an abundant number, since it is smaller than the sum of its proper divisors (676152456).

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

305948664 is a wasteful number, since it uses less digits than its factorization.

305948664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22511 (or 22495 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 305948664 is about 17491.3882810942. The cubic root of 305948664 is about 673.8287243063.

The spelling of 305948664 in words is "three hundred five million, nine hundred forty-eight thousand, six hundred sixty-four".