311628409 has 9 divisors (see below), whose sum is σ = 316377477. Its totient is φ = 306950364.

The previous prime is 311628407. The next prime is 311628419. The reversal of 311628409 is 904826113.

The square root of 311628409 is 17653.

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

It is not a de Polignac number, because 311628409 - 2¹ = 311628407 is a prime.

It is a super-2 number, since 2×311628409² = 194224530591742562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311628407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2241862 + ... + 2242000.

It is an arithmetic number, because the mean of its divisors is an integer number (35153053).

Almost surely, 2^311628409 is an apocalyptic number.

311628409 is the 17653-rd square number.

311628409 is the 8827-th centered octagonal number.

It is an amenable number.

311628409 is a deficient number, since it is larger than the sum of its proper divisors (4749068).

311628409 is an frugal number, since it uses more digits than its factorization.

311628409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The cubic root of 311628409 is about 677.9729201716.

The spelling of 311628409 in words is "three hundred eleven million, six hundred twenty-eight thousand, four hundred nine".