663408 has 60 divisors (see below), whose sum is σ = 1973088. Its totient is φ = 207360.

The previous prime is 663407. The next prime is 663409. The reversal of 663408 is 804366.

663408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (663407) and next prime (663409).

It is a super-2 number, since 2×663408² = 880220348928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2313 + ... + 2583.

2⁶⁶³⁴⁰⁸ is an apocalyptic number.

663408 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986544).

663408 is an abundant number, since it is smaller than the sum of its proper divisors (1309680).

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

663408 is a wasteful number, since it uses less digits than its factorization.

663408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 663408 is about 814.4986187834. The cubic root of 663408 is about 87.2154785530.

The spelling of 663408 in words is "six hundred sixty-three thousand, four hundred eight".