461089729 has 9 divisors (see below), whose sum is σ = 467732937. Its totient is φ = 454540464.

The previous prime is 461089723. The next prime is 461089751. The reversal of 461089729 is 927980164.

461089729 = T₂₈₅₄ + T₂₈₅₅ + ... + T₂₉₆₂.

The square root of 461089729 is 21473.

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 258084225 + 203005504 = 16065^2 + 14248^2 .

It is not a de Polignac number, because 461089729 - 2³ = 461089721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461089721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2340459 + ... + 2340655.

Almost surely, 2^461089729 is an apocalyptic number.

461089729 is the 21473-rd square number.

461089729 is the 10737-th centered octagonal number.

It is an amenable number.

461089729 is a deficient number, since it is larger than the sum of its proper divisors (6643208).

461089729 is an frugal number, since it uses more digits than its factorization.

461089729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The cubic root of 461089729 is about 772.5533547142.

The spelling of 461089729 in words is "four hundred sixty-one million, eighty-nine thousand, seven hundred twenty-nine".