814040448 has 128 divisors (see below), whose sum is σ = 2344204800. Its totient is φ = 248801280.

The previous prime is 814040431. The next prime is 814040473. The reversal of 814040448 is 844040418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 893113 + ... + 894023.

It is an arithmetic number, because the mean of its divisors is an integer number (18314100).

Almost surely, 2^814040448 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 814040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172102400).

814040448 is an abundant number, since it is smaller than the sum of its proper divisors (1530164352).

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

814040448 is a wasteful number, since it uses less digits than its factorization.

814040448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 814040448 is about 28531.3940774018. The cubic root of 814040448 is about 933.7171337639.

The spelling of 814040448 in words is "eight hundred fourteen million, forty thousand, four hundred forty-eight".