302278940401 has 9 divisors (see below), whose sum is σ = 304234986699. Its totient is φ = 300335400936.

The previous prime is 302278940393. The next prime is 302278940437. The reversal of 302278940401 is 104049872203.

The square root of 302278940401 is 549799.

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

It can be written as a sum of positive squares in only one way, i.e., 299061328225 + 3217612176 = 546865^2 + 56724^2 .

It is not a de Polignac number, because 302278940401 - 2³ = 302278940393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (302278940471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 89615551 + ... + 89618923.

It is an arithmetic number, because the mean of its divisors is an integer number (33803887411).

Almost surely, 2^302278940401 is an apocalyptic number.

302278940401 is the 549799-th square number.

302278940401 is the 274900-th centered octagonal number.

It is an amenable number.

302278940401 is a deficient number, since it is larger than the sum of its proper divisors (1956046298).

302278940401 is an frugal number, since it uses more digits than its factorization.

302278940401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 302278940401 in words is "three hundred two billion, two hundred seventy-eight million, nine hundred forty thousand, four hundred one".