461162667 has 48 divisors (see below), whose sum is σ = 732564000. Its totient is φ = 257241600.

The previous prime is 461162591. The next prime is 461162671. The reversal of 461162667 is 766261164.

It is not a de Polignac number, because 461162667 - 2⁷ = 461162539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461162677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321209 + ... + 1321557.

It is an arithmetic number, because the mean of its divisors is an integer number (15261750).

Almost surely, 2^461162667 is an apocalyptic number.

461162667 is a deficient number, since it is larger than the sum of its proper divisors (271401333).

461162667 is a wasteful number, since it uses less digits than its factorization.

461162667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 549 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 461162667 is about 21474.6982982299. The cubic root of 461162667 is about 772.5940883084.

The spelling of 461162667 in words is "four hundred sixty-one million, one hundred sixty-two thousand, six hundred sixty-seven".