248382960 has 120 divisors (see below), whose sum is σ = 895741776. Its totient is φ = 56770560.

The previous prime is 248382931. The next prime is 248382977. The reversal of 248382960 is 69283842.

248382960 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1200 + ... + 22320.

Almost surely, 2^248382960 is an apocalyptic number.

248382960 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 248382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447870888).

248382960 is an abundant number, since it is smaller than the sum of its proper divisors (647358816).

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

248382960 is a wasteful number, since it uses less digits than its factorization.

248382960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21151 (or 21138 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 248382960 is about 15760.1700498440. The cubic root of 248382960 is about 628.5993574761.

The spelling of 248382960 in words is "two hundred forty-eight million, three hundred eighty-two thousand, nine hundred sixty".