1029980952 has 384 divisors, whose sum is σ = 3874590720. Its totient is φ = 238464000.

The previous prime is 1029980909. The next prime is 1029980953. The reversal of 1029980952 is 2590899201.

It is a super-2 number, since 2×1029980952² = 2121721522965652608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1029980898 and 1029980907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029980953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2234002 + ... + 2234462.

It is an arithmetic number, because the mean of its divisors is an integer number (10090080).

Almost surely, 2^1029980952 is an apocalyptic number.

1029980952 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 1029980952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937295360).

1029980952 is an abundant number, since it is smaller than the sum of its proper divisors (2844609768).

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

1029980952 is a wasteful number, since it uses less digits than its factorization.

1029980952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1029980952 is about 32093.3163135255. The cubic root of 1029980952 is about 1009.8954085726.

The spelling of 1029980952 in words is "one billion, twenty-nine million, nine hundred eighty thousand, nine hundred fifty-two".