461681689 has 32 divisors (see below), whose sum is σ = 555448320. Its totient is φ = 375580800.

The previous prime is 461681683. The next prime is 461681707. The reversal of 461681689 is 986186164.

It is not a de Polignac number, because 461681689 - 2³ = 461681681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461681681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2832322 + ... + 2832484.

It is an arithmetic number, because the mean of its divisors is an integer number (17357760).

Almost surely, 2^461681689 is an apocalyptic number.

It is an amenable number.

461681689 is a deficient number, since it is larger than the sum of its proper divisors (93766631).

461681689 is a wasteful number, since it uses less digits than its factorization.

461681689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421.

The product of its digits is 497664, while the sum is 49.

The square root of 461681689 is about 21486.7794003662. The cubic root of 461681689 is about 772.8838219296.

The spelling of 461681689 in words is "four hundred sixty-one million, six hundred eighty-one thousand, six hundred eighty-nine".