491295456 has 288 divisors, whose sum is σ = 1571851008. Its totient is φ = 150543360.

The previous prime is 491295443. The next prime is 491295473. The reversal of 491295456 is 654592194.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7332735 + ... + 7332801.

It is an arithmetic number, because the mean of its divisors is an integer number (5457816).

Almost surely, 2^491295456 is an apocalyptic number.

491295456 is a gapful number since it is divisible by the number (46) 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 491295456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785925504).

491295456 is an abundant number, since it is smaller than the sum of its proper divisors (1080555552).

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

491295456 is a wasteful number, since it uses less digits than its factorization.

491295456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 491295456 is about 22165.1856748370. The cubic root of 491295456 is about 789.0676690216.

The spelling of 491295456 in words is "four hundred ninety-one million, two hundred ninety-five thousand, four hundred fifty-six".