1445344000 has 216 divisors, whose sum is σ = 3799583424. Its totient is φ = 547584000.

The previous prime is 1445343967. The next prime is 1445344001. The reversal of 1445344000 is 4435441.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1445344001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30751977 + ... + 30752023.

It is an arithmetic number, because the mean of its divisors is an integer number (17590664).

Almost surely, 2^1445344000 is an apocalyptic number.

1445344000 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 1445344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899791712).

1445344000 is an abundant number, since it is smaller than the sum of its proper divisors (2354239424).

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

1445344000 is an frugal number, since it uses more digits than its factorization.

1445344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1445344000 is about 38017.6800975546. The cubic root of 1445344000 is about 1130.6384258798.

Adding to 1445344000 its reverse (4435441), we get a palindrome (1449779441).

The spelling of 1445344000 in words is "one billion, four hundred forty-five million, three hundred forty-four thousand".