814829364 has 72 divisors (see below), whose sum is σ = 2172250080. Its totient is φ = 256824000.

The previous prime is 814829357. The next prime is 814829377. The reversal of 814829364 is 463928418.

It is a happy number.

814829364 is a `hidden beast` number, since 81 + 482 + 93 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560839 + ... + 562289.

It is an arithmetic number, because the mean of its divisors is an integer number (30170140).

Almost surely, 2^814829364 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 814829364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086125040).

814829364 is an abundant number, since it is smaller than the sum of its proper divisors (1357420716).

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

814829364 is a wasteful number, since it uses less digits than its factorization.

814829364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2296 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 814829364 is about 28545.2161316043. The cubic root of 814829364 is about 934.0186693748.

The spelling of 814829364 in words is "eight hundred fourteen million, eight hundred twenty-nine thousand, three hundred sixty-four".