359408 has 20 divisors (see below), whose sum is σ = 796080. Its totient is φ = 153984.

The previous prime is 359407. The next prime is 359417. The reversal of 359408 is 804953.

It is a super-2 number, since 2×359408² = 258348220928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1493 + ... + 1716.

It is an arithmetic number, because the mean of its divisors is an integer number (39804).

2³⁵⁹⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

359408 is an abundant number, since it is smaller than the sum of its proper divisors (436672).

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

359408 is a wasteful number, since it uses less digits than its factorization.

359408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 359408 is about 599.5064636849. The cubic root of 359408 is about 71.0988506062.

It can be divided in two parts, 359 and 408, that added together give a palindrome (767).

The spelling of 359408 in words is "three hundred fifty-nine thousand, four hundred eight".