491083488 has 432 divisors, whose sum is σ = 1815035040. Its totient is φ = 124895232.

The previous prime is 491083469. The next prime is 491083543. The reversal of 491083488 is 884380194.

491083488 is a `hidden beast` number, since 4 + 91 + 0 + 83 + 488 = 666.

It is a super-2 number, since 2×491083488² = 482325984372492288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5517748 + ... + 5517836.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2^491083488 is an apocalyptic number.

491083488 is a gapful number since it is divisible by the number (48) 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 491083488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907517520).

491083488 is an abundant number, since it is smaller than the sum of its proper divisors (1323951552).

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

491083488 is a wasteful number, since it uses less digits than its factorization.

491083488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 491083488 is about 22160.4036064328. The cubic root of 491083488 is about 788.9541723781.

The spelling of 491083488 in words is "four hundred ninety-one million, eighty-three thousand, four hundred eighty-eight".