408012288 has 80 divisors (see below), whose sum is σ = 1097392560. Its totient is φ = 134701056.

The previous prime is 408012271. The next prime is 408012301. The reversal of 408012288 is 882210804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166206 + ... + 168642.

It is an arithmetic number, because the mean of its divisors is an integer number (13717407).

Almost surely, 2^408012288 is an apocalyptic number.

408012288 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 408012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548696280).

408012288 is an abundant number, since it is smaller than the sum of its proper divisors (689380272).

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

408012288 is a wasteful number, since it uses less digits than its factorization.

408012288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 408012288 is about 20199.3140477591. The cubic root of 408012288 is about 741.6933997237.

The spelling of 408012288 in words is "four hundred eight million, twelve thousand, two hundred eighty-eight".