1448188560 has 720 divisors, whose sum is σ = 6454086912. Its totient is φ = 282839040.

The previous prime is 1448188559. The next prime is 1448188613. The reversal of 1448188560 is 658818441.

1448188560 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 1 + 88 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 46715745 + ... + 46715775.

Almost surely, 2^1448188560 is an apocalyptic number.

1448188560 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 1448188560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227043456).

1448188560 is an abundant number, since it is smaller than the sum of its proper divisors (5005898352).

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

1448188560 is a wasteful number, since it uses less digits than its factorization.

1448188560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1448188560 is about 38055.0727236199. The cubic root of 1448188560 is about 1131.3796706969.

It can be divided in two parts, 14481 and 88560, that added together give a square (103041 = 321²).

The spelling of 1448188560 in words is "one billion, four hundred forty-eight million, one hundred eighty-eight thousand, five hundred sixty".