814434688 has 16 divisors (see below), whose sum is σ = 1622506860. Its totient is φ = 407217280.

The previous prime is 814434667. The next prime is 814434689. The reversal of 814434688 is 886434418.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×814434688³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814434689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3181258 + ... + 3181513.

Almost surely, 2^814434688 is an apocalyptic number.

It is an amenable number.

814434688 is a deficient number, since it is larger than the sum of its proper divisors (808072172).

814434688 is an equidigital number, since it uses as much as digits as its factorization.

814434688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362785 (or 6362773 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The square root of 814434688 is about 28538.3021218852. The cubic root of 814434688 is about 933.8678425871.

The spelling of 814434688 in words is "eight hundred fourteen million, four hundred thirty-four thousand, six hundred eighty-eight".