481992 has 64 divisors (see below), whose sum is σ = 1459200. Its totient is φ = 129600.

The previous prime is 481963. The next prime is 481997. The reversal of 481992 is 299184.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (481997) by changing a digit.

481992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3117 + ... + 3267.

It is an arithmetic number, because the mean of its divisors is an integer number (22800).

2⁴⁸¹⁹⁹² is an apocalyptic number.

481992 is a gapful number since it is divisible by the number (42) 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 481992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729600).

481992 is an abundant number, since it is smaller than the sum of its proper divisors (977208).

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

481992 is a wasteful number, since it uses less digits than its factorization.

481992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 182 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 481992 is about 694.2564367725. The cubic root of 481992 is about 78.4055146753.

The spelling of 481992 in words is "four hundred eighty-one thousand, nine hundred ninety-two".