1488721920 has 576 divisors, whose sum is σ = 5915669760. Its totient is φ = 317915136.

The previous prime is 1488721919. The next prime is 1488721937. The reversal of 1488721920 is 291278841.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34621419 + ... + 34621461.

It is an arithmetic number, because the mean of its divisors is an integer number (10270260).

Almost surely, 2^1488721920 is an apocalyptic number.

1488721920 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 1488721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957834880).

1488721920 is an abundant number, since it is smaller than the sum of its proper divisors (4426947840).

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

1488721920 is a wasteful number, since it uses less digits than its factorization.

1488721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 1488721920 is about 38583.9593613719. The cubic root of 1488721920 is about 1141.8380935210.

The spelling of 1488721920 in words is "one billion, four hundred eighty-eight million, seven hundred twenty-one thousand, nine hundred twenty".