1449648288 has 288 divisors, whose sum is σ = 4811788800. Its totient is φ = 409651200.

The previous prime is 1449648131. The next prime is 1449648289. The reversal of 1449648288 is 8828469441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1449648289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2847778 + ... + 2848286.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 2^1449648288 is an apocalyptic number.

1449648288 is a gapful number since it is divisible by the number (18) 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 1449648288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405894400).

1449648288 is an abundant number, since it is smaller than the sum of its proper divisors (3362140512).

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

1449648288 is a wasteful number, since it uses less digits than its factorization.

1449648288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 585 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 1449648288 is about 38074.2470444262. The cubic root of 1449648288 is about 1131.7596746207.

The spelling of 1449648288 in words is "one billion, four hundred forty-nine million, six hundred forty-eight thousand, two hundred eighty-eight".