464718980209 has 27 divisors (see below), whose sum is σ = 529275893601. Its totient is φ = 407712930240.

The previous prime is 464718980191. The next prime is 464718980237. The reversal of 464718980209 is 902089817464.

The square root of 464718980209 is 681703.

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 125496605025 + 339222375184 = 354255^2 + 582428^2 .

It is a de Polignac number, because none of the positive numbers 2^k-464718980209 is a prime.

It is a super-3 number, since 3×464718980209³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464718980269) 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 26 ways as a sum of consecutive naturals, for example, 217462189 + ... + 217464325.

Almost surely, 2^464718980209 is an apocalyptic number.

464718980209 is the 681703-rd square number.

464718980209 is the 340852-nd centered octagonal number.

It is an amenable number.

464718980209 is a deficient number, since it is larger than the sum of its proper divisors (64556913392).

464718980209 is an frugal number, since it uses more digits than its factorization.

464718980209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 464718980209 in words is "four hundred sixty-four billion, seven hundred eighteen million, nine hundred eighty thousand, two hundred nine".