409633 has 8 divisors (see below), whose sum is σ = 472640. Its totient is φ = 347760.

The previous prime is 409609. The next prime is 409639. The reversal of 409633 is 336904.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 409633 - 2⁹ = 409121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 409598 and 409607.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 409633.

It is not an unprimeable number, because it can be changed into a prime (409639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763 + ... + 1183.

It is an arithmetic number, because the mean of its divisors is an integer number (59080).

2⁴⁰⁹⁶³³ is an apocalyptic number.

It is an amenable number.

409633 is a deficient number, since it is larger than the sum of its proper divisors (63007).

409633 is a wasteful number, since it uses less digits than its factorization.

409633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567.

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 409633 is about 640.0257807307. The cubic root of 409633 is about 74.2674157169.

The spelling of 409633 in words is "four hundred nine thousand, six hundred thirty-three".