917944416 has 144 divisors (see below), whose sum is σ = 2763633600. Its totient is φ = 288209664.

The previous prime is 917944387. The next prime is 917944493. The reversal of 917944416 is 614449719.

917944416 = T₃₈ + T₃₉ + ... + T₁₇₆₅.

917944416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1241775 + ... + 1242513.

It is an arithmetic number, because the mean of its divisors is an integer number (19191900).

Almost surely, 2^917944416 is an apocalyptic number.

917944416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 917944416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381816800).

917944416 is an abundant number, since it is smaller than the sum of its proper divisors (1845689184).

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

917944416 is a wasteful number, since it uses less digits than its factorization.

917944416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 990 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 917944416 is about 30297.5975285170. The cubic root of 917944416 is about 971.8639244555.

The spelling of 917944416 in words is "nine hundred seventeen million, nine hundred forty-four thousand, four hundred sixteen".