248019840 has 256 divisors, whose sum is σ = 908697600. Its totient is φ = 63866880.

The previous prime is 248019791. The next prime is 248019857. The reversal of 248019840 is 48910842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 248019795 and 248019804.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 535449 + ... + 535911.

It is an arithmetic number, because the mean of its divisors is an integer number (3549600).

Almost surely, 2^248019840 is an apocalyptic number.

248019840 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 248019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454348800).

248019840 is an abundant number, since it is smaller than the sum of its proper divisors (660677760).

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

248019840 is a wasteful number, since it uses less digits than its factorization.

248019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 248019840 is about 15748.6456560556. The cubic root of 248019840 is about 628.2928840617.

The spelling of 248019840 in words is "two hundred forty-eight million, nineteen thousand, eight hundred forty".