248520960 has 432 divisors, whose sum is σ = 964244736. Its totient is φ = 61046784.

The previous prime is 248520929. The next prime is 248520989. The reversal of 248520960 is 69025842.

It is a happy number.

248520960 is a `hidden beast` number, since 2 + 48 + 520 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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, 5287657 + ... + 5287703.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048).

Almost surely, 2^248520960 is an apocalyptic number.

248520960 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 248520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482122368).

248520960 is an abundant number, since it is smaller than the sum of its proper divisors (715723776).

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

248520960 is an equidigital number, since it uses as much as digits as its factorization.

248520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 248520960 is about 15764.5475672472. The cubic root of 248520960 is about 628.7157511973.

The spelling of 248520960 in words is "two hundred forty-eight million, five hundred twenty thousand, nine hundred sixty".