461606521 has 16 divisors (see below), whose sum is σ = 479759760. Its totient is φ = 443888640.

The previous prime is 461606489. The next prime is 461606531. The reversal of 461606521 is 125606164.

It can be written as a sum of positive squares in 8 ways, for example, as 39879225 + 421727296 = 6315^2 + 20536^2 .

It is a cyclic number.

It is not a de Polignac number, because 461606521 - 2⁵ = 461606489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461606531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885741 + ... + 886261.

It is an arithmetic number, because the mean of its divisors is an integer number (29984985).

Almost surely, 2^461606521 is an apocalyptic number.

It is an amenable number.

461606521 is a deficient number, since it is larger than the sum of its proper divisors (18153239).

461606521 is a wasteful number, since it uses less digits than its factorization.

461606521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 461606521 is about 21485.0301605560. The cubic root of 461606521 is about 772.8418743527.

The spelling of 461606521 in words is "four hundred sixty-one million, six hundred six thousand, five hundred twenty-one".