814408992 has 120 divisors (see below), whose sum is σ = 2451190896. Its totient is φ = 265120128.

The previous prime is 814408939. The next prime is 814408999. The reversal of 814408992 is 299804418.

It is not an unprimeable number, because it can be changed into a prime (814408999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107803 + ... + 115109.

Almost surely, 2^814408992 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 814408992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225595448).

814408992 is an abundant number, since it is smaller than the sum of its proper divisors (1636781904).

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

814408992 is a wasteful number, since it uses less digits than its factorization.

814408992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372 (or 7355 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 814408992 is about 28537.8519163584. The cubic root of 814408992 is about 933.8580210832.

The spelling of 814408992 in words is "eight hundred fourteen million, four hundred eight thousand, nine hundred ninety-two".