481792 has 20 divisors (see below), whose sum is σ = 963666. Its totient is φ = 240640.

The previous prime is 481787. The next prime is 481801. The reversal of 481792 is 297184.

481792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 92416 = 624^2 + 304^2 .

It is an unprimeable number.

481792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 42 + ... + 982.

2⁴⁸¹⁷⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481833).

481792 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

481792 is an frugal number, since it uses more digits than its factorization.

481792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 943 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 481792 is about 694.1123828315. The cubic root of 481792 is about 78.3946685254.

It can be divided in two parts, 4 and 81792, that added together give a square (81796 = 286²).

The spelling of 481792 in words is "four hundred eighty-one thousand, seven hundred ninety-two".