814434016 has 48 divisors (see below), whose sum is σ = 1768903920. Its totient is φ = 366023680.

The previous prime is 814433947. The next prime is 814434017. The reversal of 814434016 is 610434418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814434017) 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, 18330 + ... + 44326.

It is an arithmetic number, because the mean of its divisors is an integer number (36852165).

Almost surely, 2^814434016 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 814434016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884451960).

814434016 is an abundant number, since it is smaller than the sum of its proper divisors (954469904).

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

814434016 is a wasteful number, since it uses less digits than its factorization.

814434016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26107 (or 26099 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 814434016 is about 28538.2903482321. The cubic root of 814434016 is about 933.8675857384.

The spelling of 814434016 in words is "eight hundred fourteen million, four hundred thirty-four thousand, sixteen".