1488559680 has 252 divisors, whose sum is σ = 5324177820. Its totient is φ = 396389376.

The previous prime is 1488559619. The next prime is 1488559687. The reversal of 1488559680 is 869558841.

It is a happy number.

1488559680 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 559 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 353139264 + 1135420416 = 18792^2 + 33696^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1488559687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2099166 + ... + 2099874.

Almost surely, 2^1488559680 is an apocalyptic number.

1488559680 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 1488559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662088910).

1488559680 is an abundant number, since it is smaller than the sum of its proper divisors (3835618140).

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

1488559680 is an frugal number, since it uses more digits than its factorization.

1488559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The square root of 1488559680 is about 38581.8568759981. The cubic root of 1488559680 is about 1141.7966130762.

The spelling of 1488559680 in words is "one billion, four hundred eighty-eight million, five hundred fifty-nine thousand, six hundred eighty".