408065280 has 576 divisors, whose sum is σ = 1695375360. Its totient is φ = 81395712.

The previous prime is 408065243. The next prime is 408065291. The reversal of 408065280 is 82560804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8682217 + ... + 8682263.

It is an arithmetic number, because the mean of its divisors is an integer number (2943360).

Almost surely, 2^408065280 is an apocalyptic number.

408065280 is a gapful number since it is divisible by the number (40) 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 408065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847687680).

408065280 is an abundant number, since it is smaller than the sum of its proper divisors (1287310080).

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

408065280 is a wasteful number, since it uses less digits than its factorization.

408065280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 408065280 is about 20200.6257328826. The cubic root of 408065280 is about 741.7255083279.

It can be divided in two parts, 4080 and 65280, that multiplied together give a square (266342400 = 16320²).

The spelling of 408065280 in words is "four hundred eight million, sixty-five thousand, two hundred eighty".