305350401 has 16 divisors (see below), whose sum is σ = 412206080. Its totient is φ = 201042000.

The previous prime is 305350393. The next prime is 305350427. The reversal of 305350401 is 104053503.

It is not a de Polignac number, because 305350401 - 2³ = 305350393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (305350601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134526 + ... + 136776.

It is an arithmetic number, because the mean of its divisors is an integer number (25762880).

Almost surely, 2^305350401 is an apocalyptic number.

It is an amenable number.

305350401 is a deficient number, since it is larger than the sum of its proper divisors (106855679).

305350401 is a wasteful number, since it uses less digits than its factorization.

305350401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 305350401 is about 17474.2782683578. The cubic root of 305350401 is about 673.3892280877.

The spelling of 305350401 in words is "three hundred five million, three hundred fifty thousand, four hundred one".