461981583 has 16 divisors (see below), whose sum is σ = 782191360. Its totient is φ = 263989368.

The previous prime is 461981557. The next prime is 461981617. The reversal of 461981583 is 385189164.

461981583 is a `hidden beast` number, since 4 + 61 + 9 + 8 + 1 + 583 = 666.

It is not a de Polignac number, because 461981583 - 2¹² = 461977487 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461981543) 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, 1221985 + ... + 1222362.

It is an arithmetic number, because the mean of its divisors is an integer number (48886960).

Almost surely, 2^461981583 is an apocalyptic number.

461981583 is a deficient number, since it is larger than the sum of its proper divisors (320209777).

461981583 is a wasteful number, since it uses less digits than its factorization.

461981583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444363 (or 2444357 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 461981583 is about 21493.7568377424. The cubic root of 461981583 is about 773.0511327688.

The spelling of 461981583 in words is "four hundred sixty-one million, nine hundred eighty-one thousand, five hundred eighty-three".