1449040320 has 896 divisors, whose sum is σ = 6690969600. Its totient is φ = 286654464.

The previous prime is 1449040297. The next prime is 1449040343. The reversal of 1449040320 is 230409441.

It is an interprime number because it is at equal distance from previous prime (1449040297) and next prime (1449040343).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14938512 + ... + 14938608.

It is an arithmetic number, because the mean of its divisors is an integer number (7467600).

Almost surely, 2^1449040320 is an apocalyptic number.

1449040320 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 1449040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345484800).

1449040320 is an abundant number, since it is smaller than the sum of its proper divisors (5241929280).

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

1449040320 is a wasteful number, since it uses less digits than its factorization.

1449040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1449040320 is about 38066.2622278574. The cubic root of 1449040320 is about 1131.6014362663.

Adding to 1449040320 its reverse (230409441), we get a palindrome (1679449761).

The spelling of 1449040320 in words is "one billion, four hundred forty-nine million, forty thousand, three hundred twenty".