461760849 has 24 divisors (see below), whose sum is σ = 730041312. Its totient is φ = 278925120.

The previous prime is 461760847. The next prime is 461760863. The reversal of 461760849 is 948067164.

It is not a de Polignac number, because 461760849 - 2¹ = 461760847 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461760847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22797 + ... + 37989.

It is an arithmetic number, because the mean of its divisors is an integer number (30418388).

Almost surely, 2^461760849 is an apocalyptic number.

It is an amenable number.

461760849 is a deficient number, since it is larger than the sum of its proper divisors (268280463).

461760849 is a wasteful number, since it uses less digits than its factorization.

461760849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15517 (or 15514 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 461760849 is about 21488.6213843513. The cubic root of 461760849 is about 772.9279923240.

The spelling of 461760849 in words is "four hundred sixty-one million, seven hundred sixty thousand, eight hundred forty-nine".