814434912 has 288 divisors, whose sum is σ = 2610395424. Its totient is φ = 248832000.

The previous prime is 814434877. The next prime is 814434961. The reversal of 814434912 is 219434418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8063662 + ... + 8063762.

It is an arithmetic number, because the mean of its divisors is an integer number (9063873).

Almost surely, 2^814434912 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 814434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305197712).

814434912 is an abundant number, since it is smaller than the sum of its proper divisors (1795960512).

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

814434912 is a wasteful number, since it uses less digits than its factorization.

814434912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 814434912 is about 28538.3060464352. The cubic root of 814434912 is about 933.8679282033.

The spelling of 814434912 in words is "eight hundred fourteen million, four hundred thirty-four thousand, nine hundred twelve".