248506960 has 40 divisors (see below), whose sum is σ = 622225800. Its totient is φ = 91756032.

The previous prime is 248506931. The next prime is 248506987. The reversal of 248506960 is 69605842.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5895184 + 242611776 = 2428^2 + 15576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118435 + ... + 120514.

It is an arithmetic number, because the mean of its divisors is an integer number (15555645).

Almost surely, 2^248506960 is an apocalyptic number.

248506960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248506960 is an abundant number, since it is smaller than the sum of its proper divisors (373718840).

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

248506960 is a wasteful number, since it uses less digits than its factorization.

248506960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238975 (or 238969 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 248506960 is about 15764.1035266837. The cubic root of 248506960 is about 628.7039451028.

The spelling of 248506960 in words is "two hundred forty-eight million, five hundred six thousand, nine hundred sixty".