248049408 has 144 divisors (see below), whose sum is σ = 706406400. Its totient is φ = 77045760.

The previous prime is 248049391. The next prime is 248049419. The reversal of 248049408 is 804940842.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1298593 + ... + 1298783.

It is an arithmetic number, because the mean of its divisors is an integer number (4905600).

Almost surely, 2^248049408 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 248049408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353203200).

248049408 is an abundant number, since it is smaller than the sum of its proper divisors (458356992).

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

248049408 is a wasteful number, since it uses less digits than its factorization.

248049408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 248049408 is about 15749.5843754685. The cubic root of 248049408 is about 628.3178506474.

The spelling of 248049408 in words is "two hundred forty-eight million, forty-nine thousand, four hundred eight".