416506325 has 12 divisors (see below), whose sum is σ = 521584548. Its totient is φ = 329904000.

The previous prime is 416506313. The next prime is 416506327. The reversal of 416506325 is 523605614.

It can be written as a sum of positive squares in 6 ways, for example, as 7091569 + 409414756 = 2663^2 + 20234^2 .

It is not a de Polignac number, because 416506325 - 2²⁸ = 148070869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416506291 and 416506300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416506327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79952 + ... + 85001.

It is an arithmetic number, because the mean of its divisors is an integer number (43465379).

Almost surely, 2^416506325 is an apocalyptic number.

It is an amenable number.

416506325 is a deficient number, since it is larger than the sum of its proper divisors (105078223).

416506325 is a wasteful number, since it uses less digits than its factorization.

416506325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165064 (or 165059 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 416506325 is about 20408.4865925918. The cubic root of 416506325 is about 746.8049713465.

The spelling of 416506325 in words is "four hundred sixteen million, five hundred six thousand, three hundred twenty-five".