818079456 has 144 divisors (see below), whose sum is σ = 2282651280. Its totient is φ = 256481280.

The previous prime is 818079443. The next prime is 818079463. The reversal of 818079456 is 654970818.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 4519686 + ... + 4519866.

It is an arithmetic number, because the mean of its divisors is an integer number (15851745).

Almost surely, 2^818079456 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 818079456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141325640).

818079456 is an abundant number, since it is smaller than the sum of its proper divisors (1464571824).

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

818079456 is a wasteful number, since it uses less digits than its factorization.

818079456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 818079456 is about 28602.0883153661. The cubic root of 818079456 is about 935.2588551882.

The spelling of 818079456 in words is "eight hundred eighteen million, seventy-nine thousand, four hundred fifty-six".