1488396000 has 768 divisors, whose sum is σ = 6340239360. Its totient is φ = 296755200.

The previous prime is 1488395999. The next prime is 1488396031. The reversal of 1488396000 is 6938841.

1488396000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1488396000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31667977 + ... + 31668023.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^1488396000 is an apocalyptic number.

1488396000 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 1488396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170119680).

1488396000 is an abundant number, since it is smaller than the sum of its proper divisors (4851843360).

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

1488396000 is a wasteful number, since it uses less digits than its factorization.

1488396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1488396000 is about 38579.7356134020. The cubic root of 1488396000 is about 1141.7547614074.

The spelling of 1488396000 in words is "one billion, four hundred eighty-eight million, three hundred ninety-six thousand".