461442105 has 24 divisors (see below), whose sum is σ = 800359560. Its totient is φ = 245940480.

The previous prime is 461442083. The next prime is 461442139. The reversal of 461442105 is 501244164.

461442105 is a `hidden beast` number, since 4 + 614 + 42 + 1 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86322681 + 375119424 = 9291^2 + 19368^2 .

It is not a de Polignac number, because 461442105 - 2¹³ = 461433913 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101685 + ... + 106125.

It is an arithmetic number, because the mean of its divisors is an integer number (33348315).

Almost surely, 2^461442105 is an apocalyptic number.

461442105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461442105 is a deficient number, since it is larger than the sum of its proper divisors (338917455).

461442105 is a wasteful number, since it uses less digits than its factorization.

461442105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 461442105 is about 21481.2035277356. The cubic root of 461442105 is about 772.7501059647.

Adding to 461442105 its reverse (501244164), we get a palindrome (962686269).

The spelling of 461442105 in words is "four hundred sixty-one million, four hundred forty-two thousand, one hundred five".