1445582880 has 288 divisors, whose sum is σ = 5732633088. Its totient is φ = 324864000.

The previous prime is 1445582851. The next prime is 1445582891. The reversal of 1445582880 is 882855441.

1445582880 is a `hidden beast` number, since 14 + 4 + 558 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613705 + ... + 616055.

It is an arithmetic number, because the mean of its divisors is an integer number (19904976).

Almost surely, 2^1445582880 is an apocalyptic number.

1445582880 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 1445582880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866316544).

1445582880 is an abundant number, since it is smaller than the sum of its proper divisors (4287050208).

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

1445582880 is a wasteful number, since it uses less digits than its factorization.

1445582880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The square root of 1445582880 is about 38020.8216639251. The cubic root of 1445582880 is about 1130.7007114047.

The spelling of 1445582880 in words is "one billion, four hundred forty-five million, five hundred eighty-two thousand, eight hundred eighty".