409353 has 16 divisors (see below), whose sum is σ = 633216. Its totient is φ = 230400.

The previous prime is 409351. The next prime is 409369. The reversal of 409353 is 353904.

It is not a de Polignac number, because 409353 - 2¹ = 409351 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (409351) 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, 2025 + ... + 2217.

It is an arithmetic number, because the mean of its divisors is an integer number (39576).

2⁴⁰⁹³⁵³ is an apocalyptic number.

It is an amenable number.

409353 is a deficient number, since it is larger than the sum of its proper divisors (223863).

409353 is a wasteful number, since it uses less digits than its factorization.

409353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 409353 is about 639.8070021499. The cubic root of 409353 is about 74.2504903095.

The spelling of 409353 in words is "four hundred nine thousand, three hundred fifty-three".