814408 has 16 divisors (see below), whose sum is σ = 1745280. Its totient is φ = 349008.

The previous prime is 814403. The next prime is 814423. The reversal of 814408 is 804418.

It is an Ulam number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (814403) by changing a digit.

814408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7216 + ... + 7327.

It is an arithmetic number, because the mean of its divisors is an integer number (109080).

2⁸¹⁴⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

814408 is an abundant number, since it is smaller than the sum of its proper divisors (930872).

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

814408 is a wasteful number, since it uses less digits than its factorization.

814408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14556 (or 14552 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 814408 is about 902.4455662255. The cubic root of 814408 is about 93.3857641918.

It can be divided in two parts, 81 and 4408, that added together give a square (4489 = 67²).

The spelling of 814408 in words is "eight hundred fourteen thousand, four hundred eight".