1485288144 has 80 divisors (see below), whose sum is σ = 4278744000. Its totient is φ = 493305984.

The previous prime is 1485288143. The next prime is 1485288169. The reversal of 1485288144 is 4418825841.

1485288144 is a `hidden beast` number, since 1 + 4 + 8 + 528 + 81 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1485288144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1485288143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116182 + ... + 128330.

It is an arithmetic number, because the mean of its divisors is an integer number (53484300).

Almost surely, 2^1485288144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1485288144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139372000).

1485288144 is an abundant number, since it is smaller than the sum of its proper divisors (2793455856).

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

1485288144 is a wasteful number, since it uses less digits than its factorization.

1485288144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12449 (or 12437 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 1485288144 is about 38539.4362179833. The cubic root of 1485288144 is about 1140.9595245629.

The spelling of 1485288144 in words is "one billion, four hundred eighty-five million, two hundred eighty-eight thousand, one hundred forty-four".