406125 has 36 divisors (see below), whose sum is σ = 772668. Its totient is φ = 205200.

The previous prime is 406123. The next prime is 406169. The reversal of 406125 is 521604.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12996 + 393129 = 114^2 + 627^2 .

It is not a de Polignac number, because 406125 - 2¹ = 406123 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 406098 and 406107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21366 + ... + 21384.

It is an arithmetic number, because the mean of its divisors is an integer number (21463).

2⁴⁰⁶¹²⁵ is an apocalyptic number.

406125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

406125 is a deficient number, since it is larger than the sum of its proper divisors (366543).

406125 is a wasteful number, since it uses less digits than its factorization.

406125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 406125 is about 637.2793735874. The cubic root of 406125 is about 74.0548047872.

Adding to 406125 its reverse (521604), we get a palindrome (927729).

The spelling of 406125 in words is "four hundred six thousand, one hundred twenty-five".