491006880 has 384 divisors, whose sum is σ = 2116800000. Its totient is φ = 103514112.

The previous prime is 491006863. The next prime is 491006891. The reversal of 491006880 is 88600194.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392496 + ... + 393744.

It is an arithmetic number, because the mean of its divisors is an integer number (5512500).

Almost surely, 2^491006880 is an apocalyptic number.

491006880 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 491006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058400000).

491006880 is an abundant number, since it is smaller than the sum of its proper divisors (1625793120).

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

491006880 is a wasteful number, since it uses less digits than its factorization.

491006880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 491006880 is about 22158.6750506433. The cubic root of 491006880 is about 788.9131451761.

The spelling of 491006880 in words is "four hundred ninety-one million, six thousand, eight hundred eighty".