1029842940 has 384 divisors, whose sum is σ = 3757178880. Its totient is φ = 205286400.

The previous prime is 1029842939. The next prime is 1029842951. The reversal of 1029842940 is 492489201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5689650 + ... + 5689830.

It is an arithmetic number, because the mean of its divisors is an integer number (9784320).

Almost surely, 2^1029842940 is an apocalyptic number.

1029842940 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 1029842940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878589440).

1029842940 is an abundant number, since it is smaller than the sum of its proper divisors (2727335940).

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

1029842940 is a wasteful number, since it uses less digits than its factorization.

1029842940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1029842940 is about 32091.1660741706. The cubic root of 1029842940 is about 1009.8502996767.

The spelling of 1029842940 in words is "one billion, twenty-nine million, eight hundred forty-two thousand, nine hundred forty".