408348 has 48 divisors (see below), whose sum is σ = 1120000. Its totient is φ = 128304.

The previous prime is 408347. The next prime is 408361. The reversal of 408348 is 843804.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1953 + ... + 2151.

2⁴⁰⁸³⁴⁸ 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 408348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560000).

408348 is an abundant number, since it is smaller than the sum of its proper divisors (711652).

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

408348 is a wasteful number, since it uses less digits than its factorization.

408348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 408348 is about 639.0211264113. The cubic root of 408348 is about 74.1896765425.

Subtracting from 408348 its sum of digits (27), we obtain a square (408321 = 639²).

The spelling of 408348 in words is "four hundred eight thousand, three hundred forty-eight".