1029473568 has 72 divisors (see below), whose sum is σ = 2962906128. Its totient is φ = 339015552.

The previous prime is 1029473527. The next prime is 1029473603. The reversal of 1029473568 is 8653749201.

1029473568 is a `hidden beast` number, since 1 + 0 + 294 + 7 + 356 + 8 = 666.

1029473568 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

1029473568 is strictly pandigital in base 10.

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 11 ways as a sum of consecutive naturals, for example, 2371 + ... + 45437.

It is an arithmetic number, because the mean of its divisors is an integer number (41151474).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1029473568 = 2058947136, but 3⋅1029473568 = 3088420704 is not.

Almost surely, 2^1029473568 is an apocalyptic number.

1029473568 is a gapful number since it is divisible by the number (18) 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 1029473568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481453064).

1029473568 is an abundant number, since it is smaller than the sum of its proper divisors (1933432560).

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

1029473568 is a wasteful number, since it uses less digits than its factorization.

1029473568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43166 (or 43155 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1029473568 is about 32085.4105163079. The cubic root of 1029473568 is about 1009.7295514813.

The spelling of 1029473568 in words is "one billion, twenty-nine million, four hundred seventy-three thousand, five hundred sixty-eight".