1482144720 has 320 divisors, whose sum is σ = 5485363200. Its totient is φ = 323942400.

The previous prime is 1482144701. The next prime is 1482144733. The reversal of 1482144720 is 274412841.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7759825 + ... + 7760015.

It is an arithmetic number, because the mean of its divisors is an integer number (17141760).

Almost surely, 2^1482144720 is an apocalyptic number.

1482144720 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 1482144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742681600).

1482144720 is an abundant number, since it is smaller than the sum of its proper divisors (4003218480).

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

1482144720 is a wasteful number, since it uses less digits than its factorization.

1482144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 1482144720 is about 38498.6327029935. The cubic root of 1482144720 is about 1140.1540573580.

The spelling of 1482144720 in words is "one billion, four hundred eighty-two million, one hundred forty-four thousand, seven hundred twenty".