305804772 has 288 divisors, whose sum is σ = 1064044800. Its totient is φ = 71912448.

The previous prime is 305804767. The next prime is 305804809. The reversal of 305804772 is 277408503.

305804772 is a `hidden beast` number, since 3 + 0 + 580 + 4 + 7 + 72 = 666.

305804772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 16094979 + ... + 16094997.

It is an arithmetic number, because the mean of its divisors is an integer number (3694600).

Almost surely, 2^305804772 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 305804772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532022400).

305804772 is an abundant number, since it is smaller than the sum of its proper divisors (758240028).

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

305804772 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 305804772 = (708374250)₉.

305804772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 305804772 is about 17487.2745732433. The cubic root of 305804772 is about 673.7230706695.

The spelling of 305804772 in words is "three hundred five million, eight hundred four thousand, seven hundred seventy-two".