491080590 has 512 divisors, whose sum is σ = 1857945600. Its totient is φ = 88957440.

The previous prime is 491080589. The next prime is 491080591. The reversal of 491080590 is 95080194.

491080590 is a `hidden beast` number, since 491 + 0 + 80 + 5 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (491080589) and next prime (491080591).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491080591) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6216171 + ... + 6216249.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2^491080590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491080590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928972800).

491080590 is an abundant number, since it is smaller than the sum of its proper divisors (1366865010).

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

491080590 is a wasteful number, since it uses less digits than its factorization.

491080590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 491080590 is about 22160.3382194406. The cubic root of 491080590 is about 788.9526204399.

The spelling of 491080590 in words is "four hundred ninety-one million, eighty thousand, five hundred ninety".