1482585120 has 240 divisors, whose sum is σ = 5276335680. Its totient is φ = 392034816.

The previous prime is 1482585119. The next prime is 1482585121. The reversal of 1482585120 is 215852841.

1482585120 is a `hidden beast` number, since 1 + 482 + 58 + 5 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (1482585119) and next prime (1482585121).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1482585121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1801029 + ... + 1801851.

It is an arithmetic number, because the mean of its divisors is an integer number (21984732).

Almost surely, 2^1482585120 is an apocalyptic number.

1482585120 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 1482585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638167840).

1482585120 is an abundant number, since it is smaller than the sum of its proper divisors (3793750560).

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

1482585120 is a wasteful number, since it uses less digits than its factorization.

1482585120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1482585120 is about 38504.3519618237. The cubic root of 1482585120 is about 1140.2669734844.

The spelling of 1482585120 in words is "one billion, four hundred eighty-two million, five hundred eighty-five thousand, one hundred twenty".