461181567 has 64 divisors (see below), whose sum is σ = 789626880. Its totient is φ = 232502400.

The previous prime is 461181563. The next prime is 461181601. The reversal of 461181567 is 765181164.

It is not a de Polignac number, because 461181567 - 2² = 461181563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461181563) 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 63 ways as a sum of consecutive naturals, for example, 1701642 + ... + 1701912.

It is an arithmetic number, because the mean of its divisors is an integer number (12337920).

Almost surely, 2^461181567 is an apocalyptic number.

461181567 is a deficient number, since it is larger than the sum of its proper divisors (328445313).

461181567 is a wasteful number, since it uses less digits than its factorization.

461181567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484.

The product of its digits is 40320, while the sum is 39.

The square root of 461181567 is about 21475.1383464694. The cubic root of 461181567 is about 772.6046426672.

The spelling of 461181567 in words is "four hundred sixty-one million, one hundred eighty-one thousand, five hundred sixty-seven".