491003520 has 384 divisors, whose sum is σ = 1933968960. Its totient is φ = 105283584.

The previous prime is 491003507. The next prime is 491003603. The reversal of 491003520 is 25300194.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×491003520³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599207 + ... + 1599513.

Almost surely, 2^491003520 is an apocalyptic number.

491003520 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 491003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966984480).

491003520 is an abundant number, since it is smaller than the sum of its proper divisors (1442965440).

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

491003520 is a wasteful number, since it uses less digits than its factorization.

491003520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 491003520 is about 22158.5992337061. The cubic root of 491003520 is about 788.9113456398.

The spelling of 491003520 in words is "four hundred ninety-one million, three thousand, five hundred twenty".