1488792000 has 448 divisors, whose sum is σ = 5392033920. Its totient is φ = 360448000.

The previous prime is 1488791963. The next prime is 1488792007. The reversal of 1488792000 is 2978841.

1488792000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1488792000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1488792007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16727956 + ... + 16728044.

It is an arithmetic number, because the mean of its divisors is an integer number (12035790).

Almost surely, 2^1488792000 is an apocalyptic number.

1488792000 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 1488792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696016960).

1488792000 is an abundant number, since it is smaller than the sum of its proper divisors (3903241920).

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

1488792000 is a wasteful number, since it uses less digits than its factorization.

1488792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 1488792000 is about 38584.8675000965. The cubic root of 1488792000 is about 1141.8560101775.

The spelling of 1488792000 in words is "one billion, four hundred eighty-eight million, seven hundred ninety-two thousand".