461005567 has 8 divisors (see below), whose sum is σ = 506247552. Its totient is φ = 416319000.

The previous prime is 461005549. The next prime is 461005579. The reversal of 461005567 is 765500164.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 461005567 - 2¹¹ = 461003519 is a prime.

It is a super-2 number, since 2×461005567² = 425052265609982978, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461005267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137113 + ... + 140434.

It is an arithmetic number, because the mean of its divisors is an integer number (63280944).

Almost surely, 2^461005567 is an apocalyptic number.

461005567 is a deficient number, since it is larger than the sum of its proper divisors (45241985).

461005567 is a wasteful number, since it uses less digits than its factorization.

461005567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277709.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 461005567 is about 21471.0401937121. The cubic root of 461005567 is about 772.5063475283.

The spelling of 461005567 in words is "four hundred sixty-one million, five thousand, five hundred sixty-seven".