1002869280 has 432 divisors, whose sum is σ = 4063661784. Its totient is φ = 224501760.

The previous prime is 1002869261. The next prime is 1002869281. The reversal of 1002869280 is 829682001.

It can be written as a sum of positive squares in 4 ways, for example, as 363588624 + 639280656 = 19068^2 + 25284^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1002869281) 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 71 ways as a sum of consecutive naturals, for example, 4304044 + ... + 4304276.

Almost surely, 2^1002869280 is an apocalyptic number.

1002869280 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 1002869280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031830892).

1002869280 is an abundant number, since it is smaller than the sum of its proper divisors (3060792504).

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

1002869280 is a wasteful number, since it uses less digits than its factorization.

1002869280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1002869280 is about 31668.1114056396. Note that the first 3 decimals coincide. The cubic root of 1002869280 is about 1000.9555133701.

The spelling of 1002869280 in words is "one billion, two million, eight hundred sixty-nine thousand, two hundred eighty".