408982824 has 128 divisors (see below), whose sum is σ = 1188000000. Its totient is φ = 130201344.

The previous prime is 408982823. The next prime is 408982829. The reversal of 408982824 is 428289804.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 408982824.

It is not an unprimeable number, because it can be changed into a prime (408982823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682477 + ... + 683075.

It is an arithmetic number, because the mean of its divisors is an integer number (9281250).

Almost surely, 2^408982824 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 408982824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594000000).

408982824 is an abundant number, since it is smaller than the sum of its proper divisors (779017176).

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

408982824 is a wasteful number, since it uses less digits than its factorization.

408982824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 408982824 is about 20223.3237624284. The cubic root of 408982824 is about 742.2810210283.

The spelling of 408982824 in words is "four hundred eight million, nine hundred eighty-two thousand, eight hundred twenty-four".