248123520 has 256 divisors, whose sum is σ = 894499200. Its totient is φ = 64991232.

The previous prime is 248123503. The next prime is 248123521. The reversal of 248123520 is 25321842.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248123521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1434154 + ... + 1434326.

Almost surely, 2^248123520 is an apocalyptic number.

248123520 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 248123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447249600).

248123520 is an abundant number, since it is smaller than the sum of its proper divisors (646375680).

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

248123520 is a wasteful number, since it uses less digits than its factorization.

248123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 248123520 is about 15751.9370237441. The cubic root of 248123520 is about 628.3804205148.

The spelling of 248123520 in words is "two hundred forty-eight million, one hundred twenty-three thousand, five hundred twenty".