461625 has 16 divisors (see below), whose sum is σ = 768768. Its totient is φ = 246000.

The previous prime is 461609. The next prime is 461627. The reversal of 461625 is 526164.

It is not a de Polignac number, because 461625 - 2⁴ = 461609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 461595 and 461604.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461625.

It is not an unprimeable number, because it can be changed into a prime (461627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241 + ... + 990.

It is an arithmetic number, because the mean of its divisors is an integer number (48048).

2⁴⁶¹⁶²⁵ is an apocalyptic number.

It is an amenable number.

461625 is a deficient number, since it is larger than the sum of its proper divisors (307143).

461625 is a wasteful number, since it uses less digits than its factorization.

461625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1239 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 461625 is about 679.4299080847. The cubic root of 461625 is about 77.2852186999.

Adding to 461625 its reverse (526164), we get a palindrome (987789).

The spelling of 461625 in words is "four hundred sixty-one thousand, six hundred twenty-five".