416217984 has 256 divisors, whose sum is σ = 1397383680. Its totient is φ = 106831872.

The previous prime is 416217943. The next prime is 416218001. The reversal of 416217984 is 489712614.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1502454 + ... + 1502730.

It is an arithmetic number, because the mean of its divisors is an integer number (5458530).

Almost surely, 2^416217984 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 416217984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698691840).

416217984 is an abundant number, since it is smaller than the sum of its proper divisors (981165696).

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

416217984 is a wasteful number, since it uses less digits than its factorization.

416217984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 416217984 is about 20401.4211269705. The cubic root of 416217984 is about 746.6325976519.

The spelling of 416217984 in words is "four hundred sixteen million, two hundred seventeen thousand, nine hundred eighty-four".