408973824 has 240 divisors, whose sum is σ = 1395863040. Its totient is φ = 112803840.

The previous prime is 408973823. The next prime is 408973843. The reversal of 408973824 is 428379804.

It is a self number, because there is not a number n which added to its sum of digits gives 408973824.

It is not an unprimeable number, because it can be changed into a prime (408973823) 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, 999732 + ... + 1000140.

It is an arithmetic number, because the mean of its divisors is an integer number (5816096).

Almost surely, 2^408973824 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 408973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697931520).

408973824 is an abundant number, since it is smaller than the sum of its proper divisors (986889216).

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

408973824 is a wasteful number, since it uses less digits than its factorization.

408973824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 408973824 is about 20223.1012458525. The cubic root of 408973824 is about 742.2755761557.

The spelling of 408973824 in words is "four hundred eight million, nine hundred seventy-three thousand, eight hundred twenty-four".