461765493 has 72 divisors (see below), whose sum is σ = 830531520. Its totient is φ = 241367040.

The previous prime is 461765477. The next prime is 461765497. The reversal of 461765493 is 394567164.

It is not a de Polignac number, because 461765493 - 2⁴ = 461765477 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461765497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4760421 + ... + 4760517.

It is an arithmetic number, because the mean of its divisors is an integer number (11535160).

Almost surely, 2^461765493 is an apocalyptic number.

It is an amenable number.

461765493 is a deficient number, since it is larger than the sum of its proper divisors (368766027).

461765493 is a wasteful number, since it uses less digits than its factorization.

461765493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 167 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 461765493 is about 21488.7294412676. The cubic root of 461765493 is about 772.9305834673.

The spelling of 461765493 in words is "four hundred sixty-one million, seven hundred sixty-five thousand, four hundred ninety-three".