1445320800 has 864 divisors, whose sum is σ = 6649574400. Its totient is φ = 296524800.

The previous prime is 1445320769. The next prime is 1445320831. The reversal of 1445320800 is 80235441.

1445320800 is a `hidden beast` number, since 1 + 4 + 453 + 208 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1445320769) and next prime (1445320831).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18295161 + ... + 18295239.

Almost surely, 2^1445320800 is an apocalyptic number.

1445320800 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 1445320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324787200).

1445320800 is an abundant number, since it is smaller than the sum of its proper divisors (5204253600).

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

1445320800 is a wasteful number, since it uses less digits than its factorization.

1445320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1445320800 is about 38017.3749751347. The cubic root of 1445320800 is about 1130.6323763507.

It can be divided in two parts, 14453 and 20800, that added together give a palindrome (35253).

The spelling of 1445320800 in words is "one billion, four hundred forty-five million, three hundred twenty thousand, eight hundred".