248634048 has 224 divisors, whose sum is σ = 761951232. Its totient is φ = 70963200.

The previous prime is 248634047. The next prime is 248634101. The reversal of 248634048 is 840436842.

248634048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 248633997 and 248634015.

It is not an unprimeable number, because it can be changed into a prime (248634047) 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, 3501853 + ... + 3501923.

It is an arithmetic number, because the mean of its divisors is an integer number (3401568).

Almost surely, 2^248634048 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 248634048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380975616).

248634048 is an abundant number, since it is smaller than the sum of its proper divisors (513317184).

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

248634048 is a wasteful number, since it uses less digits than its factorization.

248634048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 248634048 is about 15768.1339415925. The cubic root of 248634048 is about 628.8111012032.

The spelling of 248634048 in words is "two hundred forty-eight million, six hundred thirty-four thousand, forty-eight".