248695040 has 144 divisors (see below), whose sum is σ = 688746240. Its totient is φ = 85032960.

The previous prime is 248694997. The next prime is 248695043. The reversal of 248695040 is 40596842.

It is a junction number, because it is equal to n+sod(n) for n = 248694985 and 248695003.

It is not an unprimeable number, because it can be changed into a prime (248695043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238841 + ... + 239879.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2^248695040 is an apocalyptic number.

248695040 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 248695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344373120).

248695040 is an abundant number, since it is smaller than the sum of its proper divisors (440051200).

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

248695040 is a wasteful number, since it uses less digits than its factorization.

248695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 248695040 is about 15770.0678502028. The cubic root of 248695040 is about 628.8625145305.

The spelling of 248695040 in words is "two hundred forty-eight million, six hundred ninety-five thousand, forty".