491319000 has 256 divisors, whose sum is σ = 1761177600. Its totient is φ = 126576000.

The previous prime is 491318941. The next prime is 491319029. The reversal of 491319000 is 913194.

It is a super-2 number, since 2×491319000² = 482788719522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 836707 + ... + 837293.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^491319000 is an apocalyptic number.

491319000 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 491319000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

491319000 is an abundant number, since it is smaller than the sum of its proper divisors (1269858600).

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

491319000 is a wasteful number, since it uses less digits than its factorization.

491319000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 491319000 is about 22165.7167716273. The cubic root of 491319000 is about 789.0802734617.

The spelling of 491319000 in words is "four hundred ninety-one million, three hundred nineteen thousand".