408385440 has 72 divisors (see below), whose sum is σ = 1393620228. Its totient is φ = 108902400.

The previous prime is 408385403. The next prime is 408385463. The reversal of 408385440 is 44583804.

It can be written as a sum of positive squares in 2 ways, for example, as 400160016 + 8225424 = 20004^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 408385395 and 408385404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140361 + ... + 143240.

Almost surely, 2^408385440 is an apocalyptic number.

408385440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408385440 is an abundant number, since it is smaller than the sum of its proper divisors (985234788).

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

408385440 is a wasteful number, since it uses less digits than its factorization.

408385440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283622 (or 283611 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 408385440 is about 20208.5486861378. The cubic root of 408385440 is about 741.9194387050.

The spelling of 408385440 in words is "four hundred eight million, three hundred eighty-five thousand, four hundred forty".