1488607820 has 96 divisors (see below), whose sum is σ = 3832012800. Its totient is φ = 474349824.

The previous prime is 1488607807. The next prime is 1488607837. The reversal of 1488607820 is 287068841.

Together with 2343404979 it forms a betrothed pair.

It is a super-3 number, since 3×1488607820³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135701 + ... + 146259.

It is an arithmetic number, because the mean of its divisors is an integer number (39916800).

Almost surely, 2^1488607820 is an apocalyptic number.

1488607820 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 1488607820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916006400).

1488607820 is an abundant number, since it is smaller than the sum of its proper divisors (2343404980).

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

1488607820 is a wasteful number, since it uses less digits than its factorization.

1488607820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10647 (or 10645 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The square root of 1488607820 is about 38582.4807393200. The cubic root of 1488607820 is about 1141.8089215059.

The spelling of 1488607820 in words is "one billion, four hundred eighty-eight million, six hundred seven thousand, eight hundred twenty".