491520960 has 588 divisors, whose sum is σ = 2088827928. Its totient is φ = 109734912.

The previous prime is 491520941. The next prime is 491520973. The reversal of 491520960 is 69025194.

491520960 is a `hidden beast` number, since 49 + 1 + 520 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 83 ways as a sum of consecutive naturals, for example, 11430699 + ... + 11430741.

Almost surely, 2^491520960 is an apocalyptic number.

491520960 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 491520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044413964).

491520960 is an abundant number, since it is smaller than the sum of its proper divisors (1597306968).

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

491520960 is an equidigital number, since it uses as much as digits as its factorization.

491520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 491520960 is about 22170.2719875062. The cubic root of 491520960 is about 789.1883775796.

The spelling of 491520960 in words is "four hundred ninety-one million, five hundred twenty thousand, nine hundred sixty".