248046240 has 192 divisors, whose sum is σ = 850784256. Its totient is φ = 60383232.

The previous prime is 248046229. The next prime is 248046241. The reversal of 248046240 is 42640842.

248046240 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 248046198 and 248046207.

It is not an unprimeable number, because it can be changed into a prime (248046241) 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, 792324 + ... + 792636.

It is an arithmetic number, because the mean of its divisors is an integer number (4431168).

Almost surely, 2^248046240 is an apocalyptic number.

248046240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425392128).

248046240 is an abundant number, since it is smaller than the sum of its proper divisors (602738016).

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

248046240 is a wasteful number, since it uses less digits than its factorization.

248046240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 248046240 is about 15749.4838010647. The cubic root of 248046240 is about 628.3151757510.

The spelling of 248046240 in words is "two hundred forty-eight million, forty-six thousand, two hundred forty".