408258848 has 48 divisors (see below), whose sum is σ = 821822400. Its totient is φ = 199584000.

The previous prime is 408258847. The next prime is 408258857. The reversal of 408258848 is 848852804.

It is not an unprimeable number, because it can be changed into a prime (408258847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387923 + ... + 388973.

It is an arithmetic number, because the mean of its divisors is an integer number (17121300).

Almost surely, 2^408258848 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 408258848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410911200).

408258848 is an abundant number, since it is smaller than the sum of its proper divisors (413563552).

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

408258848 is a wasteful number, since it uses less digits than its factorization.

408258848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 47.

The square root of 408258848 is about 20205.4163035558. The cubic root of 408258848 is about 741.8427703074.

The spelling of 408258848 in words is "four hundred eight million, two hundred fifty-eight thousand, eight hundred forty-eight".