408480 has 96 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 101376.

The previous prime is 408479. The next prime is 408491. The reversal of 408480 is 84804.

408480 is nontrivially palindromic in base 9.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 408480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11022 + ... + 11058.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2⁴⁰⁸⁴⁸⁰ is an apocalyptic number.

408480 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 408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

408480 is an abundant number, since it is smaller than the sum of its proper divisors (970464).

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

408480 is a wasteful number, since it uses less digits than its factorization.

408480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

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

The square root of 408480 is about 639.1244010363. The cubic root of 408480 is about 74.1976697103.

408480 divided by its sum of digits (24) gives a triangular number (17020 = T₁₈₄).

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

The spelling of 408480 in words is "four hundred eight thousand, four hundred eighty".