1029713440 has 192 divisors, whose sum is σ = 2939328000. Its totient is φ = 340343808.

The previous prime is 1029713407. The next prime is 1029713449. The reversal of 1029713440 is 443179201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029713449) 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, 1591197 + ... + 1591843.

It is an arithmetic number, because the mean of its divisors is an integer number (15309000).

Almost surely, 2^1029713440 is an apocalyptic number.

1029713440 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 1029713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469664000).

1029713440 is an abundant number, since it is smaller than the sum of its proper divisors (1909614560).

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

1029713440 is an equidigital number, since it uses as much as digits as its factorization.

1029713440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 1029713440 is about 32089.1483215121. The cubic root of 1029713440 is about 1009.8079692427.

The spelling of 1029713440 in words is "one billion, twenty-nine million, seven hundred thirteen thousand, four hundred forty".