416845712 has 80 divisors (see below), whose sum is σ = 912441600. Its totient is φ = 183306240.

The previous prime is 416845711. The next prime is 416845727. The reversal of 416845712 is 217548614.

It is a super-2 number, since 2×416845712² = 347520695225573888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (416845711) 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, 407762 + ... + 408782.

It is an arithmetic number, because the mean of its divisors is an integer number (11405520).

Almost surely, 2^416845712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416845712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456220800).

416845712 is an abundant number, since it is smaller than the sum of its proper divisors (495595888).

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

416845712 is a wasteful number, since it uses less digits than its factorization.

416845712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1138 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 416845712 is about 20416.7997492261. The cubic root of 416845712 is about 747.0077590535.

The spelling of 416845712 in words is "four hundred sixteen million, eight hundred forty-five thousand, seven hundred twelve".