248183040 has 216 divisors, whose sum is σ = 922743360. Its totient is φ = 56684544.

The previous prime is 248183029. The next prime is 248183059. The reversal of 248183040 is 40381842.

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 = 248182989 and 248183007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187501 + ... + 188819.

It is an arithmetic number, because the mean of its divisors is an integer number (4271960).

Almost surely, 2^248183040 is an apocalyptic number.

248183040 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 248183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461371680).

248183040 is an abundant number, since it is smaller than the sum of its proper divisors (674560320).

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

248183040 is a wasteful number, since it uses less digits than its factorization.

248183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 248183040 is about 15753.8262019104. The cubic root of 248183040 is about 628.4306619059.

The spelling of 248183040 in words is "two hundred forty-eight million, one hundred eighty-three thousand, forty".