416125 has 8 divisors (see below), whose sum is σ = 519480. Its totient is φ = 332800.

The previous prime is 416107. The next prime is 416147. The reversal of 416125 is 521614.

It can be written as a sum of positive squares in 4 ways, for example, as 29241 + 386884 = 171^2 + 622^2 .

It is not a de Polignac number, because 416125 - 2¹¹ = 414077 is a prime.

It is an alternating number because its digits alternate between even and odd.

416125 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1540 + ... + 1789.

It is an arithmetic number, because the mean of its divisors is an integer number (64935).

2⁴¹⁶¹²⁵ is an apocalyptic number.

It is an amenable number.

416125 is a deficient number, since it is larger than the sum of its proper divisors (103355).

416125 is an equidigital number, since it uses as much as digits as its factorization.

416125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3334 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 416125 is about 645.0775147221. The cubic root of 416125 is about 74.6576993731.

Adding to 416125 its reverse (521614), we get a palindrome (937739).

It can be divided in two parts, 4161 and 25, that added together give a triangular number (4186 = T₉₁).

The spelling of 416125 in words is "four hundred sixteen thousand, one hundred twenty-five".