8233403904 has 240 divisors, whose sum is σ = 26146897920. Its totient is φ = 2473390080.

The previous prime is 8233403869. The next prime is 8233403923. The reversal of 8233403904 is 4093043328.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6436737 + ... + 6438015.

It is an arithmetic number, because the mean of its divisors is an integer number (108945408).

Almost surely, 2^8233403904 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 8233403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13073448960).

8233403904 is an abundant number, since it is smaller than the sum of its proper divisors (17913494016).

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

8233403904 is a wasteful number, since it uses less digits than its factorization.

8233403904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 8233403904 is about 90738.1061296741. The cubic root of 8233403904 is about 2019.2641753492.

The spelling of 8233403904 in words is "eight billion, two hundred thirty-three million, four hundred three thousand, nine hundred four".