248646288 has 120 divisors (see below), whose sum is σ = 729342208. Its totient is φ = 72864000.

The previous prime is 248646287. The next prime is 248646311. The reversal of 248646288 is 882646842.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (248646287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179358 + ... + 180738.

Almost surely, 2^248646288 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 248646288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364671104).

248646288 is an abundant number, since it is smaller than the sum of its proper divisors (480695920).

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

248646288 is a wasteful number, since it uses less digits than its factorization.

248646288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1428 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 248646288 is about 15768.5220613728. The cubic root of 248646288 is about 628.8214196097.

The spelling of 248646288 in words is "two hundred forty-eight million, six hundred forty-six thousand, two hundred eighty-eight".