461262164 has 36 divisors (see below), whose sum is σ = 933979200. Its totient is φ = 198625680.

The previous prime is 461262133. The next prime is 461262181.

461262164 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 461262164.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15884 + ... + 34275.

Almost surely, 2^461262164 is an apocalyptic number.

461262164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461262164 is an abundant number, since it is smaller than the sum of its proper divisors (472717036).

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

461262164 is a wasteful number, since it uses less digits than its factorization.

461262164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50204 (or 50191 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 461262164 is about 21477.0147832514. The cubic root of 461262164 is about 772.6496473492.

The spelling of 461262164 in words is "four hundred sixty-one million, two hundred sixty-two thousand, one hundred sixty-four".