248355840 has 352 divisors, whose sum is σ = 896094720. Its totient is φ = 58392576.

The previous prime is 248355823. The next prime is 248355847. The reversal of 248355840 is 48553842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248355847) 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, 6712302 + ... + 6712338.

Almost surely, 2^248355840 is an apocalyptic number.

248355840 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 248355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448047360).

248355840 is an abundant number, since it is smaller than the sum of its proper divisors (647738880).

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

248355840 is a wasteful number, since it uses less digits than its factorization.

248355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 248355840 is about 15759.3096295491. The cubic root of 248355840 is about 628.5764785112.

The spelling of 248355840 in words is "two hundred forty-eight million, three hundred fifty-five thousand, eight hundred forty".