306505872 has 120 divisors (see below), whose sum is σ = 934315200. Its totient is φ = 93429504.

The previous prime is 306505861. The next prime is 306505921. The reversal of 306505872 is 278505603.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77413 + ... + 81275.

It is an arithmetic number, because the mean of its divisors is an integer number (7785960).

Almost surely, 2^306505872 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 306505872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467157600).

306505872 is an abundant number, since it is smaller than the sum of its proper divisors (627809328).

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

306505872 is a wasteful number, since it uses less digits than its factorization.

306505872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 306505872 is about 17507.3091022007. The cubic root of 306505872 is about 674.2375456692.

The spelling of 306505872 in words is "three hundred six million, five hundred five thousand, eight hundred seventy-two".