416125206 has 48 divisors (see below), whose sum is σ = 1035859968. Its totient is φ = 118263600.

The previous prime is 416125187. The next prime is 416125211. The reversal of 416125206 is 602521614.

416125206 is a `hidden beast` number, since 41 + 612 + 5 + 2 + 0 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 416125206.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15421 + ... + 32711.

It is an arithmetic number, because the mean of its divisors is an integer number (21580416).

Almost surely, 2^416125206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416125206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517929984).

416125206 is an abundant number, since it is smaller than the sum of its proper divisors (619734762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416125206 is a wasteful number, since it uses less digits than its factorization.

416125206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17497 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 416125206 is about 20399.1471880567. The cubic root of 416125206 is about 746.5771169267.

The spelling of 416125206 in words is "four hundred sixteen million, one hundred twenty-five thousand, two hundred six".