491967840 has 288 divisors, whose sum is σ = 1942587360. Its totient is φ = 103735296.

The previous prime is 491967823. The next prime is 491967851. The reversal of 491967840 is 48769194.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 491967840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304956 + ... + 306564.

It is an arithmetic number, because the mean of its divisors is an integer number (6745095).

Almost surely, 2^491967840 is an apocalyptic number.

491967840 is a gapful number since it is divisible by the number (40) 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 491967840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971293680).

491967840 is an abundant number, since it is smaller than the sum of its proper divisors (1450619520).

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

491967840 is a wasteful number, since it uses less digits than its factorization.

491967840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 491967840 is about 22180.3480585856. The cubic root of 491967840 is about 789.4274760136.

The spelling of 491967840 in words is "four hundred ninety-one million, nine hundred sixty-seven thousand, eight hundred forty".