1445600880 has 240 divisors, whose sum is σ = 4976127936. Its totient is φ = 376012800.

The previous prime is 1445600857. The next prime is 1445600887. The reversal of 1445600880 is 880065441.

1445600880 is a `hidden beast` number, since 1 + 4 + 45 + 600 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (1445600887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7490064 + ... + 7490256.

Almost surely, 2^1445600880 is an apocalyptic number.

1445600880 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 1445600880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488063968).

1445600880 is an abundant number, since it is smaller than the sum of its proper divisors (3530527056).

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

1445600880 is a wasteful number, since it uses less digits than its factorization.

1445600880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

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

The square root of 1445600880 is about 38021.0583755897. The cubic root of 1445600880 is about 1130.7054044432.

The spelling of 1445600880 in words is "one billion, four hundred forty-five million, six hundred thousand, eight hundred eighty".