1009462272 has 352 divisors, whose sum is σ = 3477476352. Its totient is φ = 253034496.

The previous prime is 1009462253. The next prime is 1009462277. The reversal of 1009462272 is 2722649001.

It is not an unprimeable number, because it can be changed into a prime (1009462277) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6429618 + ... + 6429774.

Almost surely, 2^1009462272 is an apocalyptic number.

1009462272 is a gapful number since it is divisible by the number (12) 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 1009462272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738738176).

1009462272 is an abundant number, since it is smaller than the sum of its proper divisors (2468014080).

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

1009462272 is a wasteful number, since it uses less digits than its factorization.

1009462272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1009462272 is about 31772.0360065262. The cubic root of 1009462272 is about 1003.1441943474.

The spelling of 1009462272 in words is "one billion, nine million, four hundred sixty-two thousand, two hundred seventy-two".