408983484 has 96 divisors (see below), whose sum is σ = 1243662336. Its totient is φ = 101514240.

The previous prime is 408983473. The next prime is 408983521. The reversal of 408983484 is 484389804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7549 + ... + 29579.

It is an arithmetic number, because the mean of its divisors is an integer number (12954816).

Almost surely, 2^408983484 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 408983484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621831168).

408983484 is an abundant number, since it is smaller than the sum of its proper divisors (834678852).

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

408983484 is a wasteful number, since it uses less digits than its factorization.

408983484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22075 (or 22073 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 408983484 is about 20223.3400802142. The cubic root of 408983484 is about 742.2814203158.

The spelling of 408983484 in words is "four hundred eight million, nine hundred eighty-three thousand, four hundred eighty-four".