1149258208 has 144 divisors (see below), whose sum is σ = 2820381984. Its totient is φ = 451215360.

The previous prime is 1149258161. The next prime is 1149258211. The reversal of 1149258208 is 8028529411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2653960 + ... + 2654392.

It is an arithmetic number, because the mean of its divisors is an integer number (19585986).

Almost surely, 2^1149258208 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 1149258208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410190992).

1149258208 is an abundant number, since it is smaller than the sum of its proper divisors (1671123776).

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

1149258208 is a wasteful number, since it uses less digits than its factorization.

1149258208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 1149258208 is about 33900.7110249918. The cubic root of 1149258208 is about 1047.4642387109.

The spelling of 1149258208 in words is "one billion, one hundred forty-nine million, two hundred fifty-eight thousand, two hundred eight".