408576 has 88 divisors (see below), whose sum is σ = 1310080. Its totient is φ = 110592.

The previous prime is 408563. The next prime is 408607. The reversal of 408576 is 675804.

It is a happy number.

408576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21495 + ... + 21513.

2⁴⁰⁸⁵⁷⁶ 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 408576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655040).

408576 is an abundant number, since it is smaller than the sum of its proper divisors (901504).

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

408576 is a wasteful number, since it uses less digits than its factorization.

408576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 408576 is about 639.1994993740. The cubic root of 408576 is about 74.2034818417.

Subtracting from 408576 its product of nonzero digits (6720), we obtain a triangular number (401856 = T₈₉₆).

The spelling of 408576 in words is "four hundred eight thousand, five hundred seventy-six".