1029017472 has 256 divisors, whose sum is σ = 3299512320. Its totient is φ = 277954560.

The previous prime is 1029017461. The next prime is 1029017513. The reversal of 1029017472 is 2747109201.

1029017472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4416268 + ... + 4416500.

It is an arithmetic number, because the mean of its divisors is an integer number (12888720).

Almost surely, 2^1029017472 is an apocalyptic number.

1029017472 is a gapful number since it is divisible by the number (12) 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 1029017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649756160).

1029017472 is an abundant number, since it is smaller than the sum of its proper divisors (2270494848).

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

1029017472 is a wasteful number, since it uses less digits than its factorization.

1029017472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 1029017472 is about 32078.3021994619. The cubic root of 1029017472 is about 1009.5804132383.

The spelling of 1029017472 in words is "one billion, twenty-nine million, seventeen thousand, four hundred seventy-two".