1445068800 has 486 divisors, whose sum is σ = 6021686853. Its totient is φ = 330301440.

The previous prime is 1445068777. The next prime is 1445068819. The reversal of 1445068800 is 88605441.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1445068800 is a `hidden beast` number, since 144 + 506 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1416167424 + 28901376 = 37632^2 + 5376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=26880.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 206438397 + ... + 206438403.

Almost surely, 2^1445068800 is an apocalyptic number.

1445068800 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 1445068800

1445068800 is an abundant number, since it is smaller than the sum of its proper divisors (4576618053).

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

1445068800 is an frugal number, since it uses more digits than its factorization.

1445068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1445068800 is about 38014.0605565888. The cubic root of 1445068800 is about 1130.5666617773.

The spelling of 1445068800 in words is "one billion, four hundred forty-five million, sixty-eight thousand, eight hundred".