461590101 has 12 divisors (see below), whose sum is σ = 761990112. Its totient is φ = 263765736.

The previous prime is 461590081. The next prime is 461590147. The reversal of 461590101 is 101095164.

461590101 is a `hidden beast` number, since 4 + 61 + 590 + 10 + 1 = 666.

It is not a de Polignac number, because 461590101 - 2¹¹ = 461588053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461590201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3663351 + ... + 3663476.

It is an arithmetic number, because the mean of its divisors is an integer number (63499176).

Almost surely, 2^461590101 is an apocalyptic number.

It is an amenable number.

461590101 is a deficient number, since it is larger than the sum of its proper divisors (300400011).

461590101 is a wasteful number, since it uses less digits than its factorization.

461590101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7326840 (or 7326837 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 461590101 is about 21484.6480306288. The cubic root of 461590101 is about 772.8327105494.

The spelling of 461590101 in words is "four hundred sixty-one million, five hundred ninety thousand, one hundred one".