408004128 has 240 divisors, whose sum is σ = 1390435200. Its totient is φ = 114960384.

The previous prime is 408004099. The next prime is 408004141. The reversal of 408004128 is 821400804.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2050173 + ... + 2050371.

It is an arithmetic number, because the mean of its divisors is an integer number (5793480).

Almost surely, 2^408004128 is an apocalyptic number.

408004128 is a gapful number since it is divisible by the number (48) 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 408004128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695217600).

408004128 is an abundant number, since it is smaller than the sum of its proper divisors (982431072).

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

408004128 is a wasteful number, since it uses less digits than its factorization.

408004128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 408004128 is about 20199.1120596921. The cubic root of 408004128 is about 741.6884552170.

The spelling of 408004128 in words is "four hundred eight million, four thousand, one hundred twenty-eight".