1029000000 has 392 divisors, whose sum is σ = 3968699200. Its totient is φ = 235200000.

The previous prime is 1028999989. The next prime is 1029000017. The reversal of 1029000000 is 9201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (392).

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=700.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1029000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 146999997 + ... + 147000003.

Almost surely, 2^1029000000 is an apocalyptic number.

1029000000 is a gapful number since it is divisible by the number (10) 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 1029000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984349600).

1029000000 is an abundant number, since it is smaller than the sum of its proper divisors (2939699200).

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

1029000000 is an frugal number, since it uses more digits than its factorization.

1029000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1029000000 is about 32078.0298646909. The cubic root of 1029000000 is about 1009.5746992152.

Adding to 1029000000 its reverse (9201), we get a palindrome (1029009201).

The spelling of 1029000000 in words is "one billion, twenty-nine million", and thus it is an aban number and an uban number.