1001209248 has 240 divisors, whose sum is σ = 3249471456. Its totient is φ = 300464640.

The previous prime is 1001209241. The next prime is 1001209249. The reversal of 1001209248 is 8429021001.

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 (1001209241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1448583 + ... + 1449273.

Almost surely, 2^1001209248 is an apocalyptic number.

1001209248 is a gapful number since it is divisible by the number (18) 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 1001209248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624735728).

1001209248 is an abundant number, since it is smaller than the sum of its proper divisors (2248262208).

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

1001209248 is a wasteful number, since it uses less digits than its factorization.

1001209248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1001209248 is about 31641.8907146839. The cubic root of 1001209248 is about 1000.4029203001.

The spelling of 1001209248 in words is "one billion, one million, two hundred nine thousand, two hundred forty-eight".