1449090720 has 432 divisors, whose sum is σ = 6278676768. Its totient is φ = 300948480.

The previous prime is 1449090719. The next prime is 1449090739. The reversal of 1449090720 is 270909441.

1449090720 is a `hidden beast` number, since 14 + 490 + 90 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 775227 + ... + 777093.

It is an arithmetic number, because the mean of its divisors is an integer number (14533974).

Almost surely, 2^1449090720 is an apocalyptic number.

1449090720 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 1449090720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139338384).

1449090720 is an abundant number, since it is smaller than the sum of its proper divisors (4829586048).

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

1449090720 is a wasteful number, since it uses less digits than its factorization.

1449090720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1449090720 is about 38066.9242256319. The cubic root of 1449090720 is about 1131.6145557658.

The spelling of 1449090720 in words is "one billion, four hundred forty-nine million, ninety thousand, seven hundred twenty".