480408 has 32 divisors (see below), whose sum is σ = 1235760. Its totient is φ = 155520.

The previous prime is 480391. The next prime is 480409. The reversal of 480408 is 804084.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480409) by changing a digit.

480408 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, 618 + ... + 1158.

2⁴⁸⁰⁴⁰⁸ 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 480408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617880).

480408 is an abundant number, since it is smaller than the sum of its proper divisors (755352).

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

480408 is a wasteful number, since it uses less digits than its factorization.

480408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 480408 is about 693.1147091211. The cubic root of 480408 is about 78.3195307908.

It can be divided in two parts, 480 and 408, that added together give a palindrome (888).

The spelling of 480408 in words is "four hundred eighty thousand, four hundred eight".