1449640320 has 256 divisors, whose sum is σ = 5107898880. Its totient is φ = 347832320.

The previous prime is 1449640319. The next prime is 1449640333. The reversal of 1449640320 is 230469441.

It is a super-3 number, since 3×1449640320³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749755 + ... + 751685.

It is an arithmetic number, because the mean of its divisors is an integer number (19952730).

Almost surely, 2^1449640320 is an apocalyptic number.

1449640320 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 1449640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553949440).

1449640320 is an abundant number, since it is smaller than the sum of its proper divisors (3658258560).

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

1449640320 is a wasteful number, since it uses less digits than its factorization.

1449640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1449640320 is about 38074.1424066255. The cubic root of 1449640320 is about 1131.7576010424.

The spelling of 1449640320 in words is "one billion, four hundred forty-nine million, six hundred forty thousand, three hundred twenty".