1445792880 has 640 divisors, whose sum is σ = 5924192256. Its totient is φ = 283852800.

The previous prime is 1445792879. The next prime is 1445792891. The reversal of 1445792880 is 882975441.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 20363245 + ... + 20363315.

Almost surely, 2^1445792880 is an apocalyptic number.

1445792880 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 1445792880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962096128).

1445792880 is an abundant number, since it is smaller than the sum of its proper divisors (4478399376).

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

1445792880 is a wasteful number, since it uses less digits than its factorization.

1445792880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 1445792880 is about 38023.5832083195. The cubic root of 1445792880 is about 1130.7554610967.

The spelling of 1445792880 in words is "one billion, four hundred forty-five million, seven hundred ninety-two thousand, eight hundred eighty".