408870 has 96 divisors (see below), whose sum is σ = 1347840. Its totient is φ = 83520.

The previous prime is 408869. The next prime is 408911. The reversal of 408870 is 78804.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6901 + ... + 6959.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2⁴⁰⁸⁸⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673920).

408870 is an abundant number, since it is smaller than the sum of its proper divisors (938970).

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

408870 is a wasteful number, since it uses less digits than its factorization.

408870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 408870 is about 639.4294331668. The cubic root of 408870 is about 74.2212758328.

The spelling of 408870 in words is "four hundred eight thousand, eight hundred seventy".