408831280 has 120 divisors (see below), whose sum is σ = 1123254000. Its totient is φ = 137180160.

The previous prime is 408831259. The next prime is 408831287. The reversal of 408831280 is 82138804.

It is not an unprimeable number, because it can be changed into a prime (408831287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147346 + ... + 150094.

It is an arithmetic number, because the mean of its divisors is an integer number (9360450).

Almost surely, 2^408831280 is an apocalyptic number.

408831280 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 408831280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561627000).

408831280 is an abundant number, since it is smaller than the sum of its proper divisors (714422720).

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

408831280 is a wasteful number, since it uses less digits than its factorization.

408831280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 408831280 is about 20219.5766523436. The cubic root of 408831280 is about 742.1893283988.

The spelling of 408831280 in words is "four hundred eight million, eight hundred thirty-one thousand, two hundred eighty".