480592 has 30 divisors (see below), whose sum is σ = 1084938. Its totient is φ = 205632.

The previous prime is 480587. The next prime is 480647. The reversal of 480592 is 295084.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 226576 = 504^2 + 476^2 .

It is a super-3 number, since 3×480592³ = 333005085826904064, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

480592 is a modest number, since divided by 592 gives 480 as remainder.

It is a nialpdrome in base 14 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 480592.

It is a congruent number.

It is an unprimeable number.

480592 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 5 ways as a sum of consecutive naturals, for example, 478 + ... + 1090.

2⁴⁸⁰⁵⁹² 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 480592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542469).

480592 is an abundant number, since it is smaller than the sum of its proper divisors (604346).

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

480592 is a wasteful number, since it uses less digits than its factorization.

480592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 480592 is about 693.2474305758. The cubic root of 480592 is about 78.3295285109.

The spelling of 480592 in words is "four hundred eighty thousand, five hundred ninety-two".