1447936560 has 400 divisors, whose sum is σ = 5814110016. Its totient is φ = 327131136.

The previous prime is 1447936541. The next prime is 1447936619. The reversal of 1447936560 is 656397441.

1447936560 is a `hidden beast` number, since 1 + 447 + 93 + 65 + 60 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 6214204 + ... + 6214436.

Almost surely, 2^1447936560 is an apocalyptic number.

1447936560 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 1447936560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907055008).

1447936560 is an abundant number, since it is smaller than the sum of its proper divisors (4366173456).

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

1447936560 is a wasteful number, since it uses less digits than its factorization.

1447936560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 1447936560 is about 38051.7615886571. The cubic root of 1447936560 is about 1131.3140429134.

The spelling of 1447936560 in words is "one billion, four hundred forty-seven million, nine hundred thirty-six thousand, five hundred sixty".