1029438720 has 180 divisors, whose sum is σ = 3683890980. Its totient is φ = 274489344.

The previous prime is 1029438673. The next prime is 1029438803. The reversal of 1029438720 is 278349201.

It can be written as a sum of positive squares in 2 ways, for example, as 288728064 + 740710656 = 16992^2 + 27216^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98716 + ... + 108644.

It is an arithmetic number, because the mean of its divisors is an integer number (20466061).

Almost surely, 2^1029438720 is an apocalyptic number.

1029438720 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 1029438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841945490).

1029438720 is an abundant number, since it is smaller than the sum of its proper divisors (2654452260).

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

1029438720 is an frugal number, since it uses more digits than its factorization.

1029438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9962 (or 9939 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1029438720 is about 32084.8674611568. The cubic root of 1029438720 is about 1009.7181581331.

The spelling of 1029438720 in words is "one billion, twenty-nine million, four hundred thirty-eight thousand, seven hundred twenty".