248742450 has 144 divisors (see below), whose sum is σ = 753023232. Its totient is φ = 58320000.

The previous prime is 248742443. The next prime is 248742523. The reversal of 248742450 is 54247842.

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 71 ways as a sum of consecutive naturals, for example, 152640 + ... + 154260.

It is an arithmetic number, because the mean of its divisors is an integer number (5229328).

Almost surely, 2^248742450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248742450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376511616).

248742450 is an abundant number, since it is smaller than the sum of its proper divisors (504280782).

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

248742450 is a wasteful number, since it uses less digits than its factorization.

248742450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 248742450 is about 15771.5709426804. The cubic root of 248742450 is about 628.9024730776.

The spelling of 248742450 in words is "two hundred forty-eight million, seven hundred forty-two thousand, four hundred fifty".