1009257984 has 240 divisors, whose sum is σ = 3385819008. Its totient is φ = 283447296.

The previous prime is 1009257983. The next prime is 1009258013. The reversal of 1009257984 is 4897529001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009257983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2160919 + ... + 2161385.

Almost surely, 2^1009257984 is an apocalyptic number.

1009257984 is a gapful number since it is divisible by the number (14) 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 1009257984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692909504).

1009257984 is an abundant number, since it is smaller than the sum of its proper divisors (2376561024).

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

1009257984 is an equidigital number, since it uses as much as digits as its factorization.

1009257984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1009257984 is about 31768.8209412940. The cubic root of 1009257984 is about 1003.0765199851.

The spelling of 1009257984 in words is "one billion, nine million, two hundred fifty-seven thousand, nine hundred eighty-four".