814385493 has 24 divisors (see below), whose sum is σ = 1247688000. Its totient is φ = 510102144.

The previous prime is 814385479. The next prime is 814385599. The reversal of 814385493 is 394583418.

814385493 is a `hidden beast` number, since 81 + 4 + 3 + 85 + 493 = 666.

It is not a de Polignac number, because 814385493 - 2⁴ = 814385477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814385413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90408 + ... + 99006.

It is an arithmetic number, because the mean of its divisors is an integer number (51987000).

Almost surely, 2^814385493 is an apocalyptic number.

It is an amenable number.

814385493 is a deficient number, since it is larger than the sum of its proper divisors (433302507).

814385493 is a wasteful number, since it uses less digits than its factorization.

814385493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9241 (or 9238 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 814385493 is about 28537.4401970464. The cubic root of 814385493 is about 933.8490391339.

It can be divided in two parts, 8143 and 85493, that added together give a square (93636 = 306²).

The spelling of 814385493 in words is "eight hundred fourteen million, three hundred eighty-five thousand, four hundred ninety-three".