304373993401 has 45 divisors (see below), whose sum is σ = 342191419129. Its totient is φ = 270713060288.

The previous prime is 304373993393. The next prime is 304373993423. The reversal of 304373993401 is 104399373403.

It is a happy number.

The square root of 304373993401 is 551701.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 94463407801 + 209910585600 = 307349^2 + 458160^2 .

It is not a de Polignac number, because 304373993401 - 2³ = 304373993393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (304373993431) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3667156506 + ... + 3667156588.

Almost surely, 2^304373993401 is an apocalyptic number.

304373993401 is the 551701-st square number.

304373993401 is the 275851-st centered octagonal number.

It is an amenable number.

304373993401 is a deficient number, since it is larger than the sum of its proper divisors (37817425728).

304373993401 is an frugal number, since it uses more digits than its factorization.

304373993401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 46.

The spelling of 304373993401 in words is "three hundred four billion, three hundred seventy-three million, nine hundred ninety-three thousand, four hundred one".