248391840 has 96 divisors (see below), whose sum is σ = 807722496. Its totient is φ = 64097280.

The previous prime is 248391827. The next prime is 248391853. The reversal of 248391840 is 48193842.

It is an interprime number because it is at equal distance from previous prime (248391827) and next prime (248391853).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6534 + ... + 23226.

It is an arithmetic number, because the mean of its divisors is an integer number (8413776).

Almost surely, 2^248391840 is an apocalyptic number.

248391840 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 248391840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403861248).

248391840 is an abundant number, since it is smaller than the sum of its proper divisors (559330656).

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

248391840 is a wasteful number, since it uses less digits than its factorization.

248391840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16742 (or 16734 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 248391840 is about 15760.4517701746. The cubic root of 248391840 is about 628.6068484566.

The spelling of 248391840 in words is "two hundred forty-eight million, three hundred ninety-one thousand, eight hundred forty".