408540 has 48 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 98880.

The previous prime is 408539. The next prime is 408553. The reversal of 408540 is 45804.

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 408540.

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, 351 + ... + 969.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2⁴⁰⁸⁵⁴⁰ 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 408540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

408540 is an abundant number, since it is smaller than the sum of its proper divisors (841380).

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

408540 is a wasteful number, since it uses less digits than its factorization.

408540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 408540 is about 639.1713385314. The cubic root of 408540 is about 74.2013023991.

The spelling of 408540 in words is "four hundred eight thousand, five hundred forty".