408838248 has 192 divisors, whose sum is σ = 1422570240. Its totient is φ = 103099392.

The previous prime is 408838247. The next prime is 408838267. The reversal of 408838248 is 842838804.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (408838247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149340 + ... + 152052.

It is an arithmetic number, because the mean of its divisors is an integer number (7409220).

Almost surely, 2^408838248 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 408838248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711285120).

408838248 is an abundant number, since it is smaller than the sum of its proper divisors (1013731992).

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

408838248 is a wasteful number, since it uses less digits than its factorization.

408838248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 408838248 is about 20219.7489598659. The cubic root of 408838248 is about 742.1935449270.

The spelling of 408838248 in words is "four hundred eight million, eight hundred thirty-eight thousand, two hundred forty-eight".