461563201 has 16 divisors (see below), whose sum is σ = 514422720. Its totient is φ = 410604480.

The previous prime is 461563189. The next prime is 461563211. The reversal of 461563201 is 102365164.

It is not a de Polignac number, because 461563201 - 2⁵ = 461563169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 461563201.

It is not an unprimeable number, because it can be changed into a prime (461563211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113715 + ... + 117703.

It is an arithmetic number, because the mean of its divisors is an integer number (32151420).

Almost surely, 2^461563201 is an apocalyptic number.

It is an amenable number.

461563201 is a deficient number, since it is larger than the sum of its proper divisors (52859519).

461563201 is a wasteful number, since it uses less digits than its factorization.

461563201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 461563201 is about 21484.0219930999. The cubic root of 461563201 is about 772.8176975154.

The spelling of 461563201 in words is "four hundred sixty-one million, five hundred sixty-three thousand, two hundred one".