814409000 has 64 divisors (see below), whose sum is σ = 1912023360. Its totient is φ = 324686400.

The previous prime is 814408999. The next prime is 814409033. The reversal of 814409000 is 904418.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345827 + ... + 348173.

It is an arithmetic number, because the mean of its divisors is an integer number (29875365).

Almost surely, 2^814409000 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 814409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956011680).

814409000 is an abundant number, since it is smaller than the sum of its proper divisors (1097614360).

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

814409000 is a wasteful number, since it uses less digits than its factorization.

814409000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 814409000 is about 28537.8520565231. The cubic root of 814409000 is about 933.8580241410.

The spelling of 814409000 in words is "eight hundred fourteen million, four hundred nine thousand".