416580125 has 32 divisors (see below), whose sum is σ = 562554720. Its totient is φ = 306163200.

The previous prime is 416580113. The next prime is 416580127. The reversal of 416580125 is 521085614.

It can be written as a sum of positive squares in 16 ways, for example, as 414407449 + 2172676 = 20357^2 + 1474^2 .

It is a de Polignac number, because none of the positive numbers 2^k-416580125 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 416580091 and 416580100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416580127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436649 + ... + 437601.

It is an arithmetic number, because the mean of its divisors is an integer number (17579835).

Almost surely, 2^416580125 is an apocalyptic number.

It is an amenable number.

416580125 is a deficient number, since it is larger than the sum of its proper divisors (145974595).

416580125 is a wasteful number, since it uses less digits than its factorization.

416580125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 416580125 is about 20410.2945838614. The cubic root of 416580125 is about 746.8490770809.

The spelling of 416580125 in words is "four hundred sixteen million, five hundred eighty thousand, one hundred twenty-five".