248919948 has 54 divisors (see below), whose sum is σ = 645456812. Its totient is φ = 80841600.

The previous prime is 248919947. The next prime is 248919953. The reversal of 248919948 is 849919842.

248919948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248919948² = 123922281024645408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248919894 and 248919903.

It is not an unprimeable number, because it can be changed into a prime (248919947) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 620548 + ... + 620948.

Almost surely, 2^248919948 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 248919948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322728406).

248919948 is an abundant number, since it is smaller than the sum of its proper divisors (396536864).

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

248919948 is a wasteful number, since it uses less digits than its factorization.

248919948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 449 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 248919948 is about 15777.1970894706. The cubic root of 248919948 is about 629.0520285577.

The spelling of 248919948 in words is "two hundred forty-eight million, nine hundred nineteen thousand, nine hundred forty-eight".