408630 has 32 divisors (see below), whose sum is σ = 1003104. Its totient is φ = 106496.

The previous prime is 408623. The next prime is 408631. The reversal of 408630 is 36804.

408630 is nontrivially palindromic in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 408597 and 408606.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408630.

It is not an unprimeable number, because it can be changed into a prime (408631) 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, 1462 + ... + 1718.

It is an arithmetic number, because the mean of its divisors is an integer number (31347).

2⁴⁰⁸⁶³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501552).

408630 is an abundant number, since it is smaller than the sum of its proper divisors (594474).

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

408630 is a wasteful number, since it uses less digits than its factorization.

408630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 408630 is about 639.2417383119. The cubic root of 408630 is about 74.2067507656.

The spelling of 408630 in words is "four hundred eight thousand, six hundred thirty".