461120625 has 120 divisors (see below), whose sum is σ = 974688000. Its totient is φ = 209916000.

The previous prime is 461120623. The next prime is 461120669. The reversal of 461120625 is 526021164.

461120625 is a `hidden beast` number, since 4 + 6 + 11 + 20 + 625 = 666.

It is not a de Polignac number, because 461120625 - 2¹ = 461120623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461120623) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1929256 + ... + 1929494.

It is an arithmetic number, because the mean of its divisors is an integer number (8122400).

Almost surely, 2^461120625 is an apocalyptic number.

461120625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461120625 is an abundant number, since it is smaller than the sum of its proper divisors (513567375).

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

461120625 is an equidigital number, since it uses as much as digits as its factorization.

461120625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 461120625 is about 21473.7194030284. The cubic root of 461120625 is about 772.5706096893.

Adding to 461120625 its reverse (526021164), we get a palindrome (987141789).

The spelling of 461120625 in words is "four hundred sixty-one million, one hundred twenty thousand, six hundred twenty-five".