416006712 has 128 divisors (see below), whose sum is σ = 1271923200. Its totient is φ = 125975520.

The previous prime is 416006693. The next prime is 416006741. The reversal of 416006712 is 217600614.

416006712 is a `hidden beast` number, since 41 + 600 + 6 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 286773 + ... + 288219.

It is an arithmetic number, because the mean of its divisors is an integer number (9936900).

Almost surely, 2^416006712 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 416006712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635961600).

416006712 is an abundant number, since it is smaller than the sum of its proper divisors (855916488).

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

416006712 is a wasteful number, since it uses less digits than its factorization.

416006712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 416006712 is about 20396.2425951448. The cubic root of 416006712 is about 746.5062461840.

The spelling of 416006712 in words is "four hundred sixteen million, six thousand, seven hundred twelve".