458121861409 has 9 divisors (see below), whose sum is σ = 468109029171. Its totient is φ = 448343452800.

The previous prime is 458121861397. The next prime is 458121861473. The reversal of 458121861409 is 904168121854.

The square root of 458121861409 is 676847.

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., 457994623009 + 127238400 = 676753^2 + 11280^2 .

It is not a de Polignac number, because 458121861409 - 2¹¹ = 458121859361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (458121861809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31804609 + ... + 31819009.

Almost surely, 2^458121861409 is an apocalyptic number.

458121861409 is the 676847-th square number.

458121861409 is the 338424-th centered octagonal number.

It is an amenable number.

458121861409 is a deficient number, since it is larger than the sum of its proper divisors (9987167762).

458121861409 is an frugal number, since it uses more digits than its factorization.

458121861409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28896 (or 14448 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

Multiplying 458121861409 by its sum of digits (49), we get a square (22447971209041 = 4737929²).

The spelling of 458121861409 in words is "four hundred fifty-eight billion, one hundred twenty-one million, eight hundred sixty-one thousand, four hundred nine".