1009268480 has 144 divisors (see below), whose sum is σ = 2700238464. Its totient is φ = 358256640.

The previous prime is 1009268473. The next prime is 1009268521. The reversal of 1009268480 is 848629001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604607 + ... + 606273.

It is an arithmetic number, because the mean of its divisors is an integer number (18751656).

Almost surely, 2^1009268480 is an apocalyptic number.

1009268480 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 1009268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350119232).

1009268480 is an abundant number, since it is smaller than the sum of its proper divisors (1690969984).

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

1009268480 is a wasteful number, since it uses less digits than its factorization.

1009268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 1009268480 is about 31768.9861342788. The cubic root of 1009268480 is about 1003.0799972112.

The spelling of 1009268480 in words is "one billion, nine million, two hundred sixty-eight thousand, four hundred eighty".