248447520 has 288 divisors, whose sum is σ = 928368000. Its totient is φ = 62042112.

The previous prime is 248447519. The next prime is 248447533. The reversal of 248447520 is 25744842.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248381 + ... + 1248579.

It is an arithmetic number, because the mean of its divisors is an integer number (3223500).

Almost surely, 2^248447520 is an apocalyptic number.

248447520 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 248447520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464184000).

248447520 is an abundant number, since it is smaller than the sum of its proper divisors (679920480).

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

248447520 is a wasteful number, since it uses less digits than its factorization.

248447520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 248447520 is about 15762.2181180188. The cubic root of 248447520 is about 628.6538148604.

The spelling of 248447520 in words is "two hundred forty-eight million, four hundred forty-seven thousand, five hundred twenty".