791463456 has 144 divisors (see below), whose sum is σ = 2627299584. Its totient is φ = 221294592.

The previous prime is 791463451. The next prime is 791463473. The reversal of 791463456 is 654364197.

791463456 is a `hidden beast` number, since 7 + 9 + 1 + 4 + 634 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (791463451) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 90576 + ... + 98928.

It is an arithmetic number, because the mean of its divisors is an integer number (18245136).

Almost surely, 2^791463456 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 791463456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313649792).

791463456 is an abundant number, since it is smaller than the sum of its proper divisors (1835836128).

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

791463456 is a wasteful number, since it uses less digits than its factorization.

791463456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8423 (or 8412 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 791463456 is about 28132.9603134828. The cubic root of 791463456 is about 925.0040247207.

The spelling of 791463456 in words is "seven hundred ninety-one million, four hundred sixty-three thousand, four hundred fifty-six".