1445358880 has 288 divisors, whose sum is σ = 4329884160. Its totient is φ = 452874240.

The previous prime is 1445358877. The next prime is 1445358883. The reversal of 1445358880 is 888535441.

1445358880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1445358877) and next prime (1445358883).

It is a self number, because there is not a number n which added to its sum of digits gives 1445358880.

It is not an unprimeable number, because it can be changed into a prime (1445358883) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4617604 + ... + 4617916.

It is an arithmetic number, because the mean of its divisors is an integer number (15034320).

Almost surely, 2^1445358880 is an apocalyptic number.

1445358880 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 1445358880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164942080).

1445358880 is an abundant number, since it is smaller than the sum of its proper divisors (2884525280).

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

1445358880 is a wasteful number, since it uses less digits than its factorization.

1445358880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The square root of 1445358880 is about 38017.8757954728. The cubic root of 1445358880 is about 1130.6423058886.

The spelling of 1445358880 in words is "one billion, four hundred forty-five million, three hundred fifty-eight thousand, eight hundred eighty".