408884480 has 36 divisors (see below), whose sum is σ = 979409172. Its totient is φ = 163553280.

The previous prime is 408884479. The next prime is 408884491. The reversal of 408884480 is 84488804.

It can be written as a sum of positive squares in 2 ways, for example, as 110838784 + 298045696 = 10528^2 + 17264^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158441 + ... + 161000.

Almost surely, 2^408884480 is an apocalyptic number.

408884480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408884480 is an abundant number, since it is smaller than the sum of its proper divisors (570524692).

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

408884480 is an equidigital number, since it uses as much as digits as its factorization.

408884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319462 (or 319448 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The square root of 408884480 is about 20220.8921662720. The cubic root of 408884480 is about 742.2215199667.

The spelling of 408884480 in words is "four hundred eight million, eight hundred eighty-four thousand, four hundred eighty".