248257840 has 80 divisors (see below), whose sum is σ = 592596000. Its totient is φ = 96690176.

The previous prime is 248257831. The next prime is 248257843. The reversal of 248257840 is 48752842.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 248257793 and 248257802.

It is not an unprimeable number, because it can be changed into a prime (248257843) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 703104 + ... + 703456.

It is an arithmetic number, because the mean of its divisors is an integer number (7407450).

Almost surely, 2^248257840 is an apocalyptic number.

248257840 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 248257840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296298000).

248257840 is an abundant number, since it is smaller than the sum of its proper divisors (344338160).

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

248257840 is a wasteful number, since it uses less digits than its factorization.

248257840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 248257840 is about 15756.2000495043. The cubic root of 248257840 is about 628.4937898992.

The spelling of 248257840 in words is "two hundred forty-eight million, two hundred fifty-seven thousand, eight hundred forty".