1009211448 has 288 divisors, whose sum is σ = 3260217600. Its totient is φ = 258733440.

The previous prime is 1009211447. The next prime is 1009211449. The reversal of 1009211448 is 8441129001.

It is an interprime number because it is at equal distance from previous prime (1009211447) and next prime (1009211449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009211447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21472561 + ... + 21472607.

It is an arithmetic number, because the mean of its divisors is an integer number (11320200).

Almost surely, 2^1009211448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009211448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630108800).

1009211448 is an abundant number, since it is smaller than the sum of its proper divisors (2251006152).

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

1009211448 is a wasteful number, since it uses less digits than its factorization.

1009211448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1009211448 is about 31768.0885166231. The cubic root of 1009211448 is about 1003.0611027554.

The spelling of 1009211448 in words is "one billion, nine million, two hundred eleven thousand, four hundred forty-eight".