408844480 has 84 divisors (see below), whose sum is σ = 1070213760. Its totient is φ = 148656640.

The previous prime is 408844459. The next prime is 408844507. The reversal of 408844480 is 84448804.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 33441 + ... + 43999.

It is an arithmetic number, because the mean of its divisors is an integer number (12740640).

Almost surely, 2^408844480 is an apocalyptic number.

408844480 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 408844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535106880).

408844480 is an abundant number, since it is smaller than the sum of its proper divisors (661369280).

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

408844480 is a wasteful number, since it uses less digits than its factorization.

408844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10598 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 408844480 is about 20219.9030660387. The cubic root of 408844480 is about 742.1973160408.

The spelling of 408844480 in words is "four hundred eight million, eight hundred forty-four thousand, four hundred eighty".