408720 has 80 divisors (see below), whose sum is σ = 1374912. Its totient is φ = 99840.

The previous prime is 408719. The next prime is 408743. The reversal of 408720 is 27804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408720.

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, 3055 + ... + 3185.

2⁴⁰⁸⁷²⁰ is an apocalyptic number.

408720 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 408720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456).

408720 is an abundant number, since it is smaller than the sum of its proper divisors (966192).

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

408720 is a wasteful number, since it uses less digits than its factorization.

408720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 408720 is about 639.3121303401. The cubic root of 408720 is about 74.2121983321.

It can be divided in two parts, 408 and 720, that added together give a triangular number (1128 = T₄₇).

The spelling of 408720 in words is "four hundred eight thousand, seven hundred twenty".