248401608 has 128 divisors (see below), whose sum is σ = 769977600. Its totient is φ = 65415168.

The previous prime is 248401607. The next prime is 248401613. The reversal of 248401608 is 806104842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248401607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368760 + ... + 369432.

It is an arithmetic number, because the mean of its divisors is an integer number (6015450).

Almost surely, 2^248401608 is an apocalyptic number.

248401608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248401608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384988800).

248401608 is an abundant number, since it is smaller than the sum of its proper divisors (521575992).

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

248401608 is a wasteful number, since it uses less digits than its factorization.

248401608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 248401608 is about 15760.7616567221. The cubic root of 248401608 is about 628.6150883290.

It can be divided in two parts, 248 and 401608, that added together give a triangular number (401856 = T₈₉₆).

The spelling of 248401608 in words is "two hundred forty-eight million, four hundred one thousand, six hundred eight".