1482020640 has 288 divisors, whose sum is σ = 5462795520. Its totient is φ = 364750848.

The previous prime is 1482020633. The next prime is 1482020707. The reversal of 1482020640 is 460202841.

1482020640 is a `hidden beast` number, since 14 + 8 + 2 + 0 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 959709 + ... + 961251.

It is an arithmetic number, because the mean of its divisors is an integer number (18968040).

Almost surely, 2^1482020640 is an apocalyptic number.

1482020640 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 1482020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731397760).

1482020640 is an abundant number, since it is smaller than the sum of its proper divisors (3980774880).

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

1482020640 is a wasteful number, since it uses less digits than its factorization.

1482020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1482020640 is about 38497.0211834630. The cubic root of 1482020640 is about 1140.1222398929.

The spelling of 1482020640 in words is "one billion, four hundred eighty-two million, twenty thousand, six hundred forty".