1482912 has 72 divisors (see below), whose sum is σ = 4455360. Its totient is φ = 466560.

The previous prime is 1482907. The next prime is 1482919. The reversal of 1482912 is 2192841.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (1482919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5337 + ... + 5607.

It is an arithmetic number, because the mean of its divisors is an integer number (61880).

2^1482912 is an apocalyptic number.

1482912 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 1482912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227680).

1482912 is an abundant number, since it is smaller than the sum of its proper divisors (2972448).

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

1482912 is a wasteful number, since it uses less digits than its factorization.

1482912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1482912 is about 1217.7487425573. The cubic root of 1482912 is about 114.0350769253.

It can be divided in two parts, 14829 and 12, that added together give a palindrome (14841).

The spelling of 1482912 in words is "one million, four hundred eighty-two thousand, nine hundred twelve".