1029813304 has 128 divisors (see below), whose sum is σ = 2252275200. Its totient is φ = 437944320.

The previous prime is 1029813251. The next prime is 1029813307. The reversal of 1029813304 is 4033189201.

1029813304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029813307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10616584 + ... + 10616680.

It is an arithmetic number, because the mean of its divisors is an integer number (17595900).

Almost surely, 2^1029813304 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 1029813304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126137600).

1029813304 is an abundant number, since it is smaller than the sum of its proper divisors (1222461896).

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

1029813304 is a wasteful number, since it uses less digits than its factorization.

1029813304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1029813304 is about 32090.7043238381. The cubic root of 1029813304 is about 1009.8406126945.

The spelling of 1029813304 in words is "one billion, twenty-nine million, eight hundred thirteen thousand, three hundred four".