416516252 has 48 divisors (see below), whose sum is σ = 834452640. Its totient is φ = 180652032.

The previous prime is 416516251. The next prime is 416516257. The reversal of 416516252 is 252615614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416516251) 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, 43448 + ... + 52160.

It is an arithmetic number, because the mean of its divisors is an integer number (17384430).

Almost surely, 2^416516252 is an apocalyptic number.

It is an amenable number.

416516252 is an abundant number, since it is smaller than the sum of its proper divisors (417936388).

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

416516252 is a wasteful number, since it uses less digits than its factorization.

416516252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790 (or 8788 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 416516252 is about 20408.7297987895. The cubic root of 416516252 is about 746.8109044090.

The spelling of 416516252 in words is "four hundred sixteen million, five hundred sixteen thousand, two hundred fifty-two".