1488465504 has 96 divisors (see below), whose sum is σ = 4369407840. Its totient is φ = 492950016.

The previous prime is 1488465487. The next prime is 1488465509. The reversal of 1488465504 is 4055648841.

It is a happy number.

1488465504 is a `hidden beast` number, since 1 + 4 + 8 + 84 + 65 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1488465504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1488465509) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 130162 + ... + 141134.

It is an arithmetic number, because the mean of its divisors is an integer number (45514665).

Almost surely, 2^1488465504 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 1488465504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184703920).

1488465504 is an abundant number, since it is smaller than the sum of its proper divisors (2880942336).

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

1488465504 is a wasteful number, since it uses less digits than its factorization.

1488465504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11149 (or 11135 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 1488465504 is about 38580.6363866642. The cubic root of 1488465504 is about 1141.7725333999.

The spelling of 1488465504 in words is "one billion, four hundred eighty-eight million, four hundred sixty-five thousand, five hundred four".