1009249416 has 128 divisors (see below), whose sum is σ = 3314592000. Its totient is φ = 278401536.

The previous prime is 1009249369. The next prime is 1009249427. The reversal of 1009249416 is 6149429001.

It is a happy number.

1009249416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32340 + ... + 55356.

It is an arithmetic number, because the mean of its divisors is an integer number (25895250).

Almost surely, 2^1009249416 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 1009249416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657296000).

1009249416 is an abundant number, since it is smaller than the sum of its proper divisors (2305342584).

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

1009249416 is a wasteful number, since it uses less digits than its factorization.

1009249416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23068 (or 23058 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1009249416 is about 31768.6860918106. The cubic root of 1009249416 is about 1003.0736814693.

The spelling of 1009249416 in words is "one billion, nine million, two hundred forty-nine thousand, four hundred sixteen".