823903488 has 90 divisors (see below), whose sum is σ = 2456792954. Its totient is φ = 274627584.

The previous prime is 823903481. The next prime is 823903579. The reversal of 823903488 is 884309328.

823903488 is a `hidden beast` number, since 82 + 3 + 90 + 3 + 488 = 666.

It can be written as a sum of positive squares in only one way, i.e., 812934144 + 10969344 = 28512^2 + 3312^2 .

It is a super-2 number, since 2×823903488² = 1357633915077132288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823903481) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 870 + ... + 40602.

Almost surely, 2^823903488 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 823903488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228396477).

823903488 is an abundant number, since it is smaller than the sum of its proper divisors (1632889466).

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

823903488 is an equidigital number, since it uses as much as digits as its factorization.

823903488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39761 (or 39738 counting only the distinct ones).

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

The square root of 823903488 is about 28703.7190621703. The cubic root of 823903488 is about 937.4730257839.

The spelling of 823903488 in words is "eight hundred twenty-three million, nine hundred three thousand, four hundred eighty-eight".