841296456 has 320 divisors, whose sum is σ = 3166289280. Its totient is φ = 201553920.

The previous prime is 841296403. The next prime is 841296479. The reversal of 841296456 is 654692148.

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 79 ways as a sum of consecutive naturals, for example, 648000 + ... + 649296.

It is an arithmetic number, because the mean of its divisors is an integer number (9894654).

Almost surely, 2^841296456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 841296456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583144640).

841296456 is an abundant number, since it is smaller than the sum of its proper divisors (2324992824).

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

841296456 is a wasteful number, since it uses less digits than its factorization.

841296456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1333 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 841296456 is about 29005.1108599847. The cubic root of 841296456 is about 944.0239658045.

The spelling of 841296456 in words is "eight hundred forty-one million, two hundred ninety-six thousand, four hundred fifty-six".