491005440 has 240 divisors, whose sum is σ = 1725465456. Its totient is φ = 129024000.

The previous prime is 491005387. The next prime is 491005451. The reversal of 491005440 is 44500194.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2326935 + ... + 2327145.

Almost surely, 2^491005440 is an apocalyptic number.

491005440 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 491005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862732728).

491005440 is an abundant number, since it is smaller than the sum of its proper divisors (1234460016).

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

491005440 is a wasteful number, since it uses less digits than its factorization.

491005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 491005440 is about 22158.6425577019. The cubic root of 491005440 is about 788.9123739473.

The spelling of 491005440 in words is "four hundred ninety-one million, five thousand, four hundred forty".