248505444 has 108 divisors (see below), whose sum is σ = 699311340. Its totient is φ = 74342400.

The previous prime is 248505443. The next prime is 248505457. The reversal of 248505444 is 444505842.

It can be written as a sum of positive squares in 2 ways, for example, as 141134400 + 107371044 = 11880^2 + 10362^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 248505399 and 248505408.

It is not an unprimeable number, because it can be changed into a prime (248505443) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 387364 + ... + 388004.

It is an arithmetic number, because the mean of its divisors is an integer number (6475105).

Almost surely, 2^248505444 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 248505444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349655670).

248505444 is an abundant number, since it is smaller than the sum of its proper divisors (450805896).

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

248505444 is a wasteful number, since it uses less digits than its factorization.

248505444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 248505444 is about 15764.0554426835. The cubic root of 248505444 is about 628.7026666448.

The spelling of 248505444 in words is "two hundred forty-eight million, five hundred five thousand, four hundred forty-four".