1449168000 has 512 divisors, whose sum is σ = 5804697600. Its totient is φ = 312422400.

The previous prime is 1449167999. The next prime is 1449168013. The reversal of 1449168000 is 8619441.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6383887 + ... + 6384113.

It is an arithmetic number, because the mean of its divisors is an integer number (11337300).

Almost surely, 2^1449168000 is an apocalyptic number.

1449168000 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 1449168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902348800).

1449168000 is an abundant number, since it is smaller than the sum of its proper divisors (4355529600).

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

1449168000 is a wasteful number, since it uses less digits than its factorization.

1449168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1449168000 is about 38067.9392665272. The cubic root of 1449168000 is about 1131.6346717408.

The spelling of 1449168000 in words is "one billion, four hundred forty-nine million, one hundred sixty-eight thousand".