408944040 has 64 divisors (see below), whose sum is σ = 1228392000. Its totient is φ = 108913152.

The previous prime is 408944021. The next prime is 408944047. The reversal of 408944040 is 40449804.

It is a junction number, because it is equal to n+sod(n) for n = 408943992 and 408944010.

It is not an unprimeable number, because it can be changed into a prime (408944047) 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, 122311 + ... + 125609.

It is an arithmetic number, because the mean of its divisors is an integer number (19193625).

Almost surely, 2^408944040 is an apocalyptic number.

408944040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408944040 is an abundant number, since it is smaller than the sum of its proper divisors (819447960).

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

408944040 is a wasteful number, since it uses less digits than its factorization.

408944040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 408944040 is about 20222.3648468719. The cubic root of 408944040 is about 742.2575566875.

The spelling of 408944040 in words is "four hundred eight million, nine hundred forty-four thousand, forty".