814328208 has 160 divisors (see below), whose sum is σ = 2399846400. Its totient is φ = 264311424.

The previous prime is 814328173. The next prime is 814328219. The reversal of 814328208 is 802823418.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 31 ways as a sum of consecutive naturals, for example, 3651585 + ... + 3651807.

It is an arithmetic number, because the mean of its divisors is an integer number (14999040).

Almost surely, 2^814328208 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 814328208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199923200).

814328208 is an abundant number, since it is smaller than the sum of its proper divisors (1585518192).

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

814328208 is a wasteful number, since it uses less digits than its factorization.

814328208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 814328208 is about 28536.4364979231. The cubic root of 814328208 is about 933.8271425436.

The spelling of 814328208 in words is "eight hundred fourteen million, three hundred twenty-eight thousand, two hundred eight".