248441760 has 288 divisors, whose sum is σ = 990662400. Its totient is φ = 56673792.

The previous prime is 248441741. The next prime is 248441771. The reversal of 248441760 is 67144842.

248441760 is a `hidden beast` number, since 2 + 484 + 4 + 176 + 0 = 666.

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

It is a super-2 number, since 2×248441760² = 123446616223795200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493669 + ... + 494171.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^248441760 is an apocalyptic number.

248441760 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 248441760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

248441760 is an abundant number, since it is smaller than the sum of its proper divisors (742220640).

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

248441760 is a wasteful number, since it uses less digits than its factorization.

248441760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 248441760 is about 15762.0354015590. The cubic root of 248441760 is about 628.6489565924.

It can be divided in two parts, 2484 and 41760, that added together give a palindrome (44244).

The spelling of 248441760 in words is "two hundred forty-eight million, four hundred forty-one thousand, seven hundred sixty".