1291449000 has 256 divisors, whose sum is σ = 4298112000. Its totient is φ = 321926400.

The previous prime is 1291448987. The next prime is 1291449031. The reversal of 1291449000 is 9441921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7922919 + ... + 7923081.

It is an arithmetic number, because the mean of its divisors is an integer number (16789500).

Almost surely, 2^1291449000 is an apocalyptic number.

1291449000 is a gapful number since it is divisible by the number (10) 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 1291449000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149056000).

1291449000 is an abundant number, since it is smaller than the sum of its proper divisors (3006663000).

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

1291449000 is a wasteful number, since it uses less digits than its factorization.

1291449000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1291449000 is about 35936.7360788372. The cubic root of 1291449000 is about 1088.9946682528.

The spelling of 1291449000 in words is "one billion, two hundred ninety-one million, four hundred forty-nine thousand".