463125 has 40 divisors (see below), whose sum is σ = 874720. Its totient is φ = 216000.

The previous prime is 463103. The next prime is 463157. The reversal of 463125 is 521364.

It is a happy number.

It is not a de Polignac number, because 463125 - 2⁵ = 463093 is a prime.

Its product of digits (720) is a multiple of the sum of its prime divisors (40).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24366 + ... + 24384.

It is an arithmetic number, because the mean of its divisors is an integer number (21868).

463125 is a Friedman number, since it can be written as 5^4*(12+3^6), using all its digits and the basic arithmetic operations.

2⁴⁶³¹²⁵ is an apocalyptic number.

It is an amenable number.

463125 is a deficient number, since it is larger than the sum of its proper divisors (411595).

463125 is a wasteful number, since it uses less digits than its factorization.

463125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 40 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 463125 is about 680.5328794408. The cubic root of 463125 is about 77.3688381524.

Adding to 463125 its reverse (521364), we get a palindrome (984489).

It can be divided in two parts, 4631 and 25, that added together give a triangular number (4656 = T₉₆).

The spelling of 463125 in words is "four hundred sixty-three thousand, one hundred twenty-five".