408618 has 64 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 109296.

The previous prime is 408607. The next prime is 408623. The reversal of 408618 is 816804.

408618 is a `hidden beast` number, since 40 + 8 + 618 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 408591 and 408600.

It is an unprimeable number.

408618 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8671 + ... + 8717.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2⁴⁰⁸⁶¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960).

408618 is an abundant number, since it is smaller than the sum of its proper divisors (697302).

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

408618 is a wasteful number, since it uses less digits than its factorization.

408618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 408618 is about 639.2323521225. The cubic root of 408618 is about 74.2060243630.

The spelling of 408618 in words is "four hundred eight thousand, six hundred eighteen".