416175125 has 16 divisors (see below), whose sum is σ = 525236400. Its totient is φ = 329190400.

The previous prime is 416175121. The next prime is 416175131. The reversal of 416175125 is 521571614.

It can be written as a sum of positive squares in 8 ways, for example, as 331203601 + 84971524 = 18199^2 + 9218^2 .

It is not a de Polignac number, because 416175125 - 2² = 416175121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 416175091 and 416175100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416175121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7580 + ... + 29829.

It is an arithmetic number, because the mean of its divisors is an integer number (32827275).

Almost surely, 2^416175125 is an apocalyptic number.

It is an amenable number.

416175125 is a deficient number, since it is larger than the sum of its proper divisors (109061275).

416175125 is an equidigital number, since it uses as much as digits as its factorization.

416175125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37513 (or 37503 counting only the distinct ones).

The product of its digits is 8400, while the sum is 32.

The square root of 416175125 is about 20400.3707074161. The cubic root of 416175125 is about 746.6069692343.

The spelling of 416175125 in words is "four hundred sixteen million, one hundred seventy-five thousand, one hundred twenty-five".