1445305680 has 960 divisors, whose sum is σ = 6672906240. Its totient is φ = 282175488.

The previous prime is 1445305651. The next prime is 1445305681. The reversal of 1445305680 is 865035441.

It is a happy number.

1445305680 is a `hidden beast` number, since 1 + 44 + 53 + 0 + 568 + 0 = 666.

It is a super-3 number, since 3×1445305680³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445305681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33611739 + ... + 33611781.

It is an arithmetic number, because the mean of its divisors is an integer number (6950944).

Almost surely, 2^1445305680 is an apocalyptic number.

1445305680 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 1445305680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336453120).

1445305680 is an abundant number, since it is smaller than the sum of its proper divisors (5227600560).

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

1445305680 is a wasteful number, since it uses less digits than its factorization.

1445305680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1445305680 is about 38017.1761181706. The cubic root of 1445305680 is about 1130.6284336917.

The spelling of 1445305680 in words is "one billion, four hundred forty-five million, three hundred five thousand, six hundred eighty".