461635125 has 128 divisors (see below), whose sum is σ = 929510400. Its totient is φ = 203212800.

The previous prime is 461635123. The next prime is 461635177. The reversal of 461635125 is 521536164.

It is not a de Polignac number, because 461635125 - 2¹ = 461635123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461635123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4759077 + ... + 4759173.

It is an arithmetic number, because the mean of its divisors is an integer number (7261800).

Almost surely, 2^461635125 is an apocalyptic number.

It is an amenable number.

461635125 is an abundant number, since it is smaller than the sum of its proper divisors (467875275).

461635125 is an equidigital number, since it uses as much as digits as its factorization.

461635125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 461635125 is about 21485.6958230354. The cubic root of 461635125 is about 772.8578373799.

The spelling of 461635125 in words is "four hundred sixty-one million, six hundred thirty-five thousand, one hundred twenty-five".