230450882809 has 45 divisors (see below), whose sum is σ = 274359689421. Its totient is φ = 193557369600.

The previous prime is 230450882801. The next prime is 230450882819. The reversal of 230450882809 is 908288054032.

It is a happy number.

The square root of 230450882809 is 480053.

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

It can be written as a sum of positive squares in 4 ways, for example, as 59905010025 + 170545872784 = 244755^2 + 412972^2 .

It is not a de Polignac number, because 230450882809 - 2³ = 230450882801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230450882801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2281691859 + ... + 2281691959.

Almost surely, 2^230450882809 is an apocalyptic number.

230450882809 is the 480053-rd square number.

230450882809 is the 240027-th centered octagonal number.

It is an amenable number.

230450882809 is a deficient number, since it is larger than the sum of its proper divisors (43908806612).

230450882809 is an frugal number, since it uses more digits than its factorization.

230450882809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

Multiplying 230450882809 by its sum of digits (49), we get a square (11292093257641 = 3360371²).

230450882809 divided by its sum of digits (49) gives a square (4703079241 = 68579²).

The spelling of 230450882809 in words is "two hundred thirty billion, four hundred fifty million, eight hundred eighty-two thousand, eight hundred nine".