408985540 has 48 divisors (see below), whose sum is σ = 915328512. Its totient is φ = 153143936.

The previous prime is 408985529. The next prime is 408985543. The reversal of 408985540 is 45589804.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (408985543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12162 + ... + 31078.

It is an arithmetic number, because the mean of its divisors is an integer number (19069344).

Almost surely, 2^408985540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408985540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457664256).

408985540 is an abundant number, since it is smaller than the sum of its proper divisors (506342972).

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

408985540 is a wasteful number, since it uses less digits than its factorization.

408985540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18996 (or 18994 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 408985540 is about 20223.3909125053. The cubic root of 408985540 is about 742.2826641542.

The spelling of 408985540 in words is "four hundred eight million, nine hundred eighty-five thousand, five hundred forty".