248358960 has 100 divisors (see below), whose sum is σ = 862609968. Its totient is φ = 66227328.

The previous prime is 248358959. The next prime is 248358961. The reversal of 248358960 is 69853842.

248358960 is a `hidden beast` number, since 2 + 4 + 8 + 3 + 589 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (248358959) and next prime (248358961).

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

It is not an unprimeable number, because it can be changed into a prime (248358961) 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 19 ways as a sum of consecutive naturals, for example, 12684 + ... + 25643.

Almost surely, 2^248358960 is an apocalyptic number.

248358960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248358960 is an abundant number, since it is smaller than the sum of its proper divisors (614251008).

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

248358960 is a wasteful number, since it uses less digits than its factorization.

248358960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38352 (or 38337 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 248358960 is about 15759.4086183461. The cubic root of 248358960 is about 628.5791106893.

The spelling of 248358960 in words is "two hundred forty-eight million, three hundred fifty-eight thousand, nine hundred sixty".