463901296609 has 27 divisors (see below), whose sum is σ = 482236731417. Its totient is φ = 446258685600.

The previous prime is 463901296603. The next prime is 463901296613. The reversal of 463901296609 is 906692109364.

The square root of 463901296609 is 681103.

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 88289208225 + 375612088384 = 297135^2 + 612872^2 .

It is not a de Polignac number, because 463901296609 - 2³ = 463901296601 is a prime.

It is a super-2 number, since 2×463901296609² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 463901296609.

It is not an unprimeable number, because it can be changed into a prime (463901296601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2562990499 + ... + 2562990679.

Almost surely, 2^463901296609 is an apocalyptic number.

463901296609 is the 681103-rd square number.

463901296609 is the 340552-nd centered octagonal number.

It is an amenable number.

463901296609 is a deficient number, since it is larger than the sum of its proper divisors (18335434808).

463901296609 is an frugal number, since it uses more digits than its factorization.

463901296609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 55.

The spelling of 463901296609 in words is "four hundred sixty-three billion, nine hundred one million, two hundred ninety-six thousand, six hundred nine".