1002969000 has 384 divisors, whose sum is σ = 3834230400. Its totient is φ = 242352000.

The previous prime is 1002968987. The next prime is 1002969007. The reversal of 1002969000 is 9692001.

It is a happy number.

1002969000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002969000² = 2011893629922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1002969007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3266847 + ... + 3267153.

It is an arithmetic number, because the mean of its divisors is an integer number (9984975).

Almost surely, 2^1002969000 is an apocalyptic number.

1002969000 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 1002969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917115200).

1002969000 is an abundant number, since it is smaller than the sum of its proper divisors (2831261400).

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

1002969000 is a wasteful number, since it uses less digits than its factorization.

1002969000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1002969000 is about 31669.6858209866. The cubic root of 1002969000 is about 1000.9886888389.

The spelling of 1002969000 in words is "one billion, two million, nine hundred sixty-nine thousand".