461603625 has 64 divisors (see below), whose sum is σ = 899458560. Its totient is φ = 205824000.

The previous prime is 461603621. The next prime is 461603647. The reversal of 461603625 is 526306164.

It is not a de Polignac number, because 461603625 - 2² = 461603621 is a prime.

It is a super-2 number, since 2×461603625² = 426155813226281250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (461603621) 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 63 ways as a sum of consecutive naturals, for example, 105481 + ... + 109769.

It is an arithmetic number, because the mean of its divisors is an integer number (14054040).

Almost surely, 2^461603625 is an apocalyptic number.

It is an amenable number.

461603625 is a deficient number, since it is larger than the sum of its proper divisors (437854935).

461603625 is a wasteful number, since it uses less digits than its factorization.

461603625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 461603625 is about 21484.9627646873. The cubic root of 461603625 is about 772.8402581460.

Adding to 461603625 its reverse (526306164), we get a palindrome (987909789).

The spelling of 461603625 in words is "four hundred sixty-one million, six hundred three thousand, six hundred twenty-five".