654408 has 48 divisors (see below), whose sum is σ = 1813500. Its totient is φ = 213120.

The previous prime is 654397. The next prime is 654413. The reversal of 654408 is 804456.

654408 is a `hidden beast` number, since 654 + 4 + 0 + 8 = 666.

654408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 492804 + 161604 = 702^2 + 402^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 654408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4318 + ... + 4466.

2⁶⁵⁴⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906750).

654408 is an abundant number, since it is smaller than the sum of its proper divisors (1159092).

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

654408 is a wasteful number, since it uses less digits than its factorization.

654408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 654408 is about 808.9548813129. The cubic root of 654408 is about 86.8192840135.

The spelling of 654408 in words is "six hundred fifty-four thousand, four hundred eight".