461767164 has 48 divisors (see below), whose sum is σ = 1108023840. Its totient is φ = 149610240.

The previous prime is 461767147. The next prime is 461767169.

461767164 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461767169) 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, 65994 + ... + 72654.

It is an arithmetic number, because the mean of its divisors is an integer number (23083830).

Almost surely, 2^461767164 is an apocalyptic number.

It is an amenable number.

461767164 is an abundant number, since it is smaller than the sum of its proper divisors (646256676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461767164 is a wasteful number, since it uses less digits than its factorization.

461767164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6830 (or 6828 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 461767164 is about 21488.7683220793. The cubic root of 461767164 is about 772.9315158059.

The spelling of 461767164 in words is "four hundred sixty-one million, seven hundred sixty-seven thousand, one hundred sixty-four".