409630 has 32 divisors (see below), whose sum is σ = 834624. Its totient is φ = 143616.

The previous prime is 409609. The next prime is 409639. The reversal of 409630 is 36904.

409630 = T₁₂₅ + T₁₂₆ + ... + T₁₆₃.

It is an Ulam number.

It is a congruent number.

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2922 + ... + 3058.

It is an arithmetic number, because the mean of its divisors is an integer number (26082).

2⁴⁰⁹⁶³⁰ is an apocalyptic number.

409630 is an abundant number, since it is smaller than the sum of its proper divisors (424994).

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

409630 is a wasteful number, since it uses less digits than its factorization.

409630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 409630 is about 640.0234370709. The cubic root of 409630 is about 74.2672344142.

The spelling of 409630 in words is "four hundred nine thousand, six hundred thirty".