248024268 has 72 divisors (see below), whose sum is σ = 656415760. Its totient is φ = 81881280.

The previous prime is 248024263. The next prime is 248024279. The reversal of 248024268 is 862420842.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (248024261) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 104778 + ... + 107118.

Almost surely, 2^248024268 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 248024268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328207880).

248024268 is an abundant number, since it is smaller than the sum of its proper divisors (408391492).

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

248024268 is a wasteful number, since it uses less digits than its factorization.

248024268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 248024268 is about 15748.7862389455. The cubic root of 248024268 is about 628.2966230963.

The spelling of 248024268 in words is "two hundred forty-eight million, twenty-four thousand, two hundred sixty-eight".