408538368 has 216 divisors, whose sum is σ = 1368564288. Its totient is φ = 114794496.

The previous prime is 408538357. The next prime is 408538369. The reversal of 408538368 is 863835804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408538369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177171 + ... + 1177517.

Almost surely, 2^408538368 is an apocalyptic number.

408538368 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 408538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684282144).

408538368 is an abundant number, since it is smaller than the sum of its proper divisors (960025920).

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

408538368 is a wasteful number, since it uses less digits than its factorization.

408538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 408538368 is about 20212.3320772245. The cubic root of 408538368 is about 742.0120359471.

The spelling of 408538368 in words is "four hundred eight million, five hundred thirty-eight thousand, three hundred sixty-eight".