408884080 has 80 divisors (see below), whose sum is σ = 1042120800. Its totient is φ = 147962880.

The previous prime is 408884039. The next prime is 408884081. The reversal of 408884080 is 80488804.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408884081) 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, 200506 + ... + 202534.

It is an arithmetic number, because the mean of its divisors is an integer number (13026510).

Almost surely, 2^408884080 is an apocalyptic number.

408884080 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 408884080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521060400).

408884080 is an abundant number, since it is smaller than the sum of its proper divisors (633236720).

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

408884080 is a wasteful number, since it uses less digits than its factorization.

408884080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 408884080 is about 20220.8822755091. The cubic root of 408884080 is about 742.2212779353.

It can be divided in two parts, 408 and 884080, that added together give a palindrome (884488).

The spelling of 408884080 in words is "four hundred eight million, eight hundred eighty-four thousand, eighty".