1009925280 has 576 divisors, whose sum is σ = 4440199680. Its totient is φ = 212502528.

The previous prime is 1009925269. The next prime is 1009925291. The reversal of 1009925280 is 825299001.

It is an interprime number because it is at equal distance from previous prime (1009925269) and next prime (1009925291).

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

It is an unprimeable number.

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, 2751657 + ... + 2752023.

It is an arithmetic number, because the mean of its divisors is an integer number (7708680).

Almost surely, 2^1009925280 is an apocalyptic number.

1009925280 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 1009925280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220099840).

1009925280 is an abundant number, since it is smaller than the sum of its proper divisors (3430274400).

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

1009925280 is a wasteful number, since it uses less digits than its factorization.

1009925280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1009925280 is about 31779.3215786618. The cubic root of 1009925280 is about 1003.2975409382.

The spelling of 1009925280 in words is "one billion, nine million, nine hundred twenty-five thousand, two hundred eighty".