356409 has 9 divisors (see below), whose sum is σ = 517413. Its totient is φ = 236412.

The previous prime is 356399. The next prime is 356441. The reversal of 356409 is 904653.

It is a happy number.

The square root of 356409 is 597.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 356409 - 2¹³ = 348217 is a prime.

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (356449) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1692 + ... + 1890.

2³⁵⁶⁴⁰⁹ is an apocalyptic number.

356409 is the 597-th square number.

356409 is the 299-th centered octagonal number.

It is an amenable number.

356409 is a deficient number, since it is larger than the sum of its proper divisors (161004).

356409 is an equidigital number, since it uses as much as digits as its factorization.

356409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The cubic root of 356409 is about 70.9005418239.

The spelling of 356409 in words is "three hundred fifty-six thousand, four hundred nine".