248948640 has 288 divisors, whose sum is σ = 930121920. Its totient is φ = 62705664.

The previous prime is 248948633. The next prime is 248948641. The reversal of 248948640 is 46849842.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248948641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738552 + ... + 738888.

It is an arithmetic number, because the mean of its divisors is an integer number (3229590).

Almost surely, 2^248948640 is an apocalyptic number.

248948640 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 248948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465060960).

248948640 is an abundant number, since it is smaller than the sum of its proper divisors (681173280).

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

248948640 is a wasteful number, since it uses less digits than its factorization.

248948640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 248948640 is about 15778.1063502564. The cubic root of 248948640 is about 629.0761970605.

The spelling of 248948640 in words is "two hundred forty-eight million, nine hundred forty-eight thousand, six hundred forty".