408048 has 20 divisors (see below), whose sum is σ = 1054248. Its totient is φ = 136000.

The previous prime is 408041. The next prime is 408049. The reversal of 408048 is 840804.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4203 + ... + 4298.

2⁴⁰⁸⁰⁴⁸ is an apocalyptic number.

408048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

408048 is an abundant number, since it is smaller than the sum of its proper divisors (646200).

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

408048 is a wasteful number, since it uses less digits than its factorization.

408048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8512 (or 8506 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 408048 is about 638.7863492593. The cubic root of 408048 is about 74.1715038436.

The spelling of 408048 in words is "four hundred eight thousand, forty-eight".