461725 has 24 divisors (see below), whose sum is σ = 660672. Its totient is φ = 316800.

The previous prime is 461717. The next prime is 461801. The reversal of 461725 is 527164.

It is not a de Polignac number, because 461725 - 2³ = 461717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

Its product of digits (1680) is a multiple of the sum of its prime divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 461725.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6289 + ... + 6361.

It is an arithmetic number, because the mean of its divisors is an integer number (27528).

2⁴⁶¹⁷²⁵ is an apocalyptic number.

It is an amenable number.

461725 is a deficient number, since it is larger than the sum of its proper divisors (198947).

461725 is a wasteful number, since it uses less digits than its factorization.

461725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 112 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 461725 is about 679.5034952081. The cubic root of 461725 is about 77.2907989608.

Adding to 461725 its reverse (527164), we get a palindrome (988889).

It can be divided in two parts, 46172 and 5, that multiplied together give a triangular number (230860 = T₆₇₉).

The spelling of 461725 in words is "four hundred sixty-one thousand, seven hundred twenty-five".