408388552 has 192 divisors, whose sum is σ = 1013523840. Its totient is φ = 152401920.

The previous prime is 408388531. The next prime is 408388567. The reversal of 408388552 is 255883804.

It is a junction number, because it is equal to n+sod(n) for n = 408388499 and 408388508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4920303 + ... + 4920385.

It is an arithmetic number, because the mean of its divisors is an integer number (5278770).

Almost surely, 2^408388552 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 408388552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506761920).

408388552 is an abundant number, since it is smaller than the sum of its proper divisors (605135288).

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

408388552 is a wasteful number, since it uses less digits than its factorization.

408388552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The square root of 408388552 is about 20208.6256831087. The cubic root of 408388552 is about 741.9213232379.

The spelling of 408388552 in words is "four hundred eight million, three hundred eighty-eight thousand, five hundred fifty-two".