356408 has 32 divisors (see below), whose sum is σ = 756000. Its totient is φ = 156288.

The previous prime is 356399. The next prime is 356441. The reversal of 356408 is 804653.

It is a Cunningham number, because it is equal to 597²-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

Together with 399592 it forms an amicable pair .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2318 + ... + 2466.

It is an arithmetic number, because the mean of its divisors is an integer number (23625).

2³⁵⁶⁴⁰⁸ 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 356408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378000).

356408 is an abundant number, since it is smaller than the sum of its proper divisors (399592).

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

356408 is a wasteful number, since it uses less digits than its factorization.

356408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 356408 is about 596.9991624785. Note that the first 3 decimals coincide. The cubic root of 356408 is about 70.9004755138.

The spelling of 356408 in words is "three hundred fifty-six thousand, four hundred eight".