491999760 has 480 divisors, whose sum is σ = 2020442112. Its totient is φ = 104924160.

The previous prime is 491999759. The next prime is 491999773. The reversal of 491999760 is 67999194.

491999760 is a `hidden beast` number, since 491 + 9 + 9 + 97 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 491999697 and 491999706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7343247 + ... + 7343313.

Almost surely, 2^491999760 is an apocalyptic number.

491999760 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 491999760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010221056).

491999760 is an abundant number, since it is smaller than the sum of its proper divisors (1528442352).

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

491999760 is a wasteful number, since it uses less digits than its factorization.

491999760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 491999760 is about 22181.0676028004. The cubic root of 491999760 is about 789.4445489318. Note that the first 3 decimals are identical.

The spelling of 491999760 in words is "four hundred ninety-one million, nine hundred ninety-nine thousand, seven hundred sixty".