481520 has 40 divisors (see below), whose sum is σ = 1208256. Its totient is φ = 177408.

The previous prime is 481513. The next prime is 481531. The reversal of 481520 is 25184.

481520 = 52² + 53² + ... + 116².

481520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 481492 and 481501.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 481520.

It is an unprimeable number.

481520 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 7 ways as a sum of consecutive naturals, for example, 809 + ... + 1271.

2⁴⁸¹⁵²⁰ is an apocalyptic number.

481520 is a gapful number since it is divisible by the number (40) 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 481520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604128).

481520 is an abundant number, since it is smaller than the sum of its proper divisors (726736).

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

481520 is a wasteful number, since it uses less digits than its factorization.

481520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 481520 is about 693.9164214803. The cubic root of 481520 is about 78.3799129436.

It can be divided in two parts, 481 and 520, that added together give a palindrome (1001).

The spelling of 481520 in words is "four hundred eighty-one thousand, five hundred twenty".