416309125 has 8 divisors (see below), whose sum is σ = 519553944. Its totient is φ = 333047200.

The previous prime is 416309099. The next prime is 416309143. The reversal of 416309125 is 521903614.

It can be written as a sum of positive squares in 4 ways, for example, as 7986276 + 408322849 = 2826^2 + 20207^2 .

It is not a de Polignac number, because 416309125 - 2¹¹ = 416307077 is a prime.

It is a Duffinian 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, 1665112 + ... + 1665361.

It is an arithmetic number, because the mean of its divisors is an integer number (64944243).

Almost surely, 2^416309125 is an apocalyptic number.

It is an amenable number.

416309125 is a deficient number, since it is larger than the sum of its proper divisors (103244819).

416309125 is an equidigital number, since it uses as much as digits as its factorization.

416309125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330488 (or 3330478 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 416309125 is about 20403.6546971370. The cubic root of 416309125 is about 746.6870914330.

The spelling of 416309125 in words is "four hundred sixteen million, three hundred nine thousand, one hundred twenty-five".