1482105600 has 324 divisors, whose sum is σ = 5500882296. Its totient is φ = 394813440.

The previous prime is 1482105587. The next prime is 1482105607. The reversal of 1482105600 is 65012841.

1482105600 is a `hidden beast` number, since 1 + 48 + 2 + 10 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is not an unprimeable number, because it can be changed into a prime (1482105607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1554724 + ... + 1555676.

Almost surely, 2^1482105600 is an apocalyptic number.

1482105600 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 1482105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750441148).

1482105600 is an abundant number, since it is smaller than the sum of its proper divisors (4018776696).

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

1482105600 is an frugal number, since it uses more digits than its factorization.

1482105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1482105600 is about 38498.1246296492. The cubic root of 1482105600 is about 1140.1440261245.

The spelling of 1482105600 in words is "one billion, four hundred eighty-two million, one hundred five thousand, six hundred".