1488070080 has 336 divisors, whose sum is σ = 5893515264. Its totient is φ = 337582080.

The previous prime is 1488070013. The next prime is 1488070081. The reversal of 1488070080 is 800708841.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1488070081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4495515 + ... + 4495845.

It is an arithmetic number, because the mean of its divisors is an integer number (17540224).

Almost surely, 2^1488070080 is an apocalyptic number.

1488070080 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 1488070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946757632).

1488070080 is an abundant number, since it is smaller than the sum of its proper divisors (4405445184).

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

1488070080 is a wasteful number, since it uses less digits than its factorization.

1488070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1488070080 is about 38575.5114029613. The cubic root of 1488070080 is about 1141.6714171279.

The spelling of 1488070080 in words is "one billion, four hundred eighty-eight million, seventy thousand, eighty".