248241792 has 64 divisors (see below), whose sum is σ = 670629600. Its totient is φ = 81337344.

The previous prime is 248241787. The next prime is 248241793. The reversal of 248241792 is 297142842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 248241792.

It is not an unprimeable number, because it can be changed into a prime (248241793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17178 + ... + 28134.

Almost surely, 2^248241792 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 248241792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335314800).

248241792 is an abundant number, since it is smaller than the sum of its proper divisors (422387808).

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

248241792 is a wasteful number, since it uses less digits than its factorization.

248241792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11033 (or 11021 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 248241792 is about 15755.6907814288. The cubic root of 248241792 is about 628.4802471437.

The spelling of 248241792 in words is "two hundred forty-eight million, two hundred forty-one thousand, seven hundred ninety-two".