814008464 has 40 divisors (see below), whose sum is σ = 1593752160. Its totient is φ = 402739200.

The previous prime is 814008451. The next prime is 814008491. The reversal of 814008464 is 464800418.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1269584 + ... + 1270224.

It is an arithmetic number, because the mean of its divisors is an integer number (39843804).

Almost surely, 2^814008464 is an apocalyptic number.

It is an amenable number.

814008464 is a deficient number, since it is larger than the sum of its proper divisors (779743696).

814008464 is a wasteful number, since it uses less digits than its factorization.

814008464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 814008464 is about 28530.8335665119. The cubic root of 814008464 is about 933.7049048876.

The spelling of 814008464 in words is "eight hundred fourteen million, eight thousand, four hundred sixty-four".