814406896 has 40 divisors (see below), whose sum is σ = 1680829920. Its totient is φ = 380934144.

The previous prime is 814406893. The next prime is 814406897. The reversal of 814406896 is 698604418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814406893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36460 + ... + 54388.

It is an arithmetic number, because the mean of its divisors is an integer number (42020748).

Almost surely, 2^814406896 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 814406896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840414960).

814406896 is an abundant number, since it is smaller than the sum of its proper divisors (866423024).

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

814406896 is a wasteful number, since it uses less digits than its factorization.

814406896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18121 (or 18115 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 814406896 is about 28537.8151931783. The cubic root of 814406896 is about 933.8572199427.

The spelling of 814406896 in words is "eight hundred fourteen million, four hundred six thousand, eight hundred ninety-six".