823813408 has 48 divisors (see below), whose sum is σ = 1772608320. Its totient is φ = 373766400.

The previous prime is 823813391. The next prime is 823813439. The reversal of 823813408 is 804318328.

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 7 ways as a sum of consecutive naturals, for example, 220258 + ... + 223966.

It is an arithmetic number, because the mean of its divisors is an integer number (36929340).

Almost surely, 2^823813408 is an apocalyptic number.

823813408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823813408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886304160).

823813408 is an abundant number, since it is smaller than the sum of its proper divisors (948794912).

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

823813408 is a wasteful number, since it uses less digits than its factorization.

823813408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 823813408 is about 28702.1498846341. The cubic root of 823813408 is about 937.4388588986.

The spelling of 823813408 in words is "eight hundred twenty-three million, eight hundred thirteen thousand, four hundred eight".