248074272 has 192 divisors, whose sum is σ = 762048000. Its totient is φ = 78428160.

The previous prime is 248074271. The next prime is 248074283. The reversal of 248074272 is 272470842.

248074272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (248074271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1664854 + ... + 1665002.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2^248074272 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 248074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024000).

248074272 is an abundant number, since it is smaller than the sum of its proper divisors (513973728).

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

248074272 is a wasteful number, since it uses less digits than its factorization.

248074272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 248074272 is about 15750.3737098521. The cubic root of 248074272 is about 628.3388437407.

The spelling of 248074272 in words is "two hundred forty-eight million, seventy-four thousand, two hundred seventy-two".