248535840 has 144 divisors (see below), whose sum is σ = 910792512. Its totient is φ = 56802816.

The previous prime is 248535823. The next prime is 248535857. The reversal of 248535840 is 48535842.

It is an interprime number because it is at equal distance from previous prime (248535823) and next prime (248535857).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18237 + ... + 28803.

It is an arithmetic number, because the mean of its divisors is an integer number (6324948).

Almost surely, 2^248535840 is an apocalyptic number.

248535840 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 248535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455396256).

248535840 is an abundant number, since it is smaller than the sum of its proper divisors (662256672).

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

248535840 is a wasteful number, since it uses less digits than its factorization.

248535840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10599 (or 10584 counting only the distinct ones).

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

The square root of 248535840 is about 15765.0195052210. The cubic root of 248535840 is about 628.7282989031.

The spelling of 248535840 in words is "two hundred forty-eight million, five hundred thirty-five thousand, eight hundred forty".