408352 has 24 divisors (see below), whose sum is σ = 919296. Its totient is φ = 174912.

The previous prime is 408347. The next prime is 408361. The reversal of 408352 is 253804.

408352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

408352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 688 + ... + 1135.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

2⁴⁰⁸³⁵² is an apocalyptic number.

It is an amenable number.

408352 is an abundant number, since it is smaller than the sum of its proper divisors (510944).

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

408352 is a wasteful number, since it uses less digits than its factorization.

408352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 408352 is about 639.0242561906. The cubic root of 408352 is about 74.1899187850.

The spelling of 408352 in words is "four hundred eight thousand, three hundred fifty-two".