305574966 has 48 divisors (see below), whose sum is σ = 703875744. Its totient is φ = 95476992.

The previous prime is 305574961. The next prime is 305575019. The reversal of 305574966 is 669475503.

305574966 is a `hidden beast` number, since 3 + 0 + 557 + 4 + 96 + 6 = 666.

305574966 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305574961) 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, 78580 + ... + 82376.

It is an arithmetic number, because the mean of its divisors is an integer number (14664078).

Almost surely, 2^305574966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305574966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351937872).

305574966 is an abundant number, since it is smaller than the sum of its proper divisors (398300778).

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

305574966 is a wasteful number, since it uses less digits than its factorization.

305574966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 305574966 is about 17480.7026746639. The cubic root of 305574966 is about 673.5542653650.

The spelling of 305574966 in words is "three hundred five million, five hundred seventy-four thousand, nine hundred sixty-six".