408066768 has 80 divisors (see below), whose sum is σ = 1199923200. Its totient is φ = 132698880.

The previous prime is 408066767. The next prime is 408066773. The reversal of 408066768 is 867660804.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408066767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6193 + ... + 29231.

It is an arithmetic number, because the mean of its divisors is an integer number (14999040).

Almost surely, 2^408066768 is an apocalyptic number.

408066768 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 408066768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

408066768 is an abundant number, since it is smaller than the sum of its proper divisors (791856432).

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

408066768 is a wasteful number, since it uses less digits than its factorization.

408066768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23097 (or 23085 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 408066768 is about 20200.6625633913. The cubic root of 408066768 is about 741.7264098881.

It can be divided in two parts, 40806 and 6768, that added together give a palindrome (47574).

The spelling of 408066768 in words is "four hundred eight million, sixty-six thousand, seven hundred sixty-eight".