461011005 has 96 divisors (see below), whose sum is σ = 993947136. Its totient is φ = 192471552.

The previous prime is 461010989. The next prime is 461011007. The reversal of 461011005 is 500110164.

It is not a de Polignac number, because 461011005 - 2⁴ = 461010989 is a prime.

It is a super-2 number, since 2×461011005² = 425062293462220050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461011007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 421239 + ... + 422331.

It is an arithmetic number, because the mean of its divisors is an integer number (10353616).

Almost surely, 2^461011005 is an apocalyptic number.

461011005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461011005 is an abundant number, since it is smaller than the sum of its proper divisors (532936131).

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

461011005 is a wasteful number, since it uses less digits than its factorization.

461011005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 461011005 is about 21471.1668290291. The cubic root of 461011005 is about 772.5093849993.

Adding to 461011005 its reverse (500110164), we get a palindrome (961121169).

The spelling of 461011005 in words is "four hundred sixty-one million, eleven thousand, five".