491951040 has 224 divisors, whose sum is σ = 1879518720. Its totient is φ = 106500096.

The previous prime is 491951023. The next prime is 491951081. The reversal of 491951040 is 40159194.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 491950992 and 491951010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125754 + ... + 129606.

Almost surely, 2^491951040 is an apocalyptic number.

491951040 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 491951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939759360).

491951040 is an abundant number, since it is smaller than the sum of its proper divisors (1387567680).

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

491951040 is a wasteful number, since it uses less digits than its factorization.

491951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 491951040 is about 22179.9693417281. The cubic root of 491951040 is about 789.4184899706.

The spelling of 491951040 in words is "four hundred ninety-one million, nine hundred fifty-one thousand, forty".