491922816 has 256 divisors, whose sum is σ = 1654456320. Its totient is φ = 125798400.

The previous prime is 491922811. The next prime is 491922841. The reversal of 491922816 is 618229194.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491922811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3755071 + ... + 3755201.

It is an arithmetic number, because the mean of its divisors is an integer number (6462720).

Almost surely, 2^491922816 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 491922816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827228160).

491922816 is an abundant number, since it is smaller than the sum of its proper divisors (1162533504).

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

491922816 is a wasteful number, since it uses less digits than its factorization.

491922816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 491922816 is about 22179.3330828499. Note that the first 3 decimals coincide. The cubic root of 491922816 is about 789.4033929577.

The spelling of 491922816 in words is "four hundred ninety-one million, nine hundred twenty-two thousand, eight hundred sixteen".