248838912 has 288 divisors, whose sum is σ = 869926400. Its totient is φ = 68677632.

The previous prime is 248838907. The next prime is 248838917. The reversal of 248838912 is 219838842.

248838912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248838907) and next prime (248838917).

It is a tau number, because it is divible by the number of its divisors (288).

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 (248838917) 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, 1790139 + ... + 1790277.

Almost surely, 2^248838912 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 248838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434963200).

248838912 is an abundant number, since it is smaller than the sum of its proper divisors (621087488).

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

248838912 is a wasteful number, since it uses less digits than its factorization.

248838912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 248838912 is about 15774.6287436504. The cubic root of 248838912 is about 628.9837584260.

It can be divided in two parts, 248 and 838912, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 248838912 in words is "two hundred forty-eight million, eight hundred thirty-eight thousand, nine hundred twelve".