248333040 has 200 divisors, whose sum is σ = 908342160. Its totient is φ = 62705664.

The previous prime is 248333017. The next prime is 248333069. The reversal of 248333040 is 40333842.

248333040 is digitally balanced in base 2, 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 248332995 and 248333013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122112 + ... + 124128.

Almost surely, 2^248333040 is an apocalyptic number.

248333040 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 248333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454171080).

248333040 is an abundant number, since it is smaller than the sum of its proper divisors (660009120).

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

248333040 is a wasteful number, since it uses less digits than its factorization.

248333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 248333040 is about 15758.5862310044. The cubic root of 248333040 is about 628.5572426944.

Adding to 248333040 its reverse (40333842), we get a palindrome (288666882).

The spelling of 248333040 in words is "two hundred forty-eight million, three hundred thirty-three thousand, forty".