1488195072 has 480 divisors, whose sum is σ = 5551207200. Its totient is φ = 392491008.

The previous prime is 1488195067. The next prime is 1488195091. The reversal of 1488195072 is 2705918841.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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, 114476538 + ... + 114476550.

It is an arithmetic number, because the mean of its divisors is an integer number (11565015).

Almost surely, 2^1488195072 is an apocalyptic number.

1488195072 is a gapful number since it is divisible by the number (12) 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 1488195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775603600).

1488195072 is an abundant number, since it is smaller than the sum of its proper divisors (4063012128).

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

1488195072 is an frugal number, since it uses more digits than its factorization.

1488195072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1488195072 is about 38577.1314641200. The cubic root of 1488195072 is about 1141.7033815272.

The spelling of 1488195072 in words is "one billion, four hundred eighty-eight million, one hundred ninety-five thousand, seventy-two".