248032512 has 324 divisors, whose sum is σ = 901189380. Its totient is φ = 65415168.

The previous prime is 248032511. The next prime is 248032513. The reversal of 248032512 is 215230842.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

248032512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248032511) and next prime (248032513).

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 238887936 = 3024^2 + 15456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248032511) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 19079418 + ... + 19079430.

Almost surely, 2^248032512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450594690).

248032512 is an abundant number, since it is smaller than the sum of its proper divisors (653156868).

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

248032512 is an equidigital number, since it uses as much as digits as its factorization.

248032512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 25 counting only the distinct ones).

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

The square root of 248032512 is about 15749.0479712267. The cubic root of 248032512 is about 628.3035842699.

The spelling of 248032512 in words is "two hundred forty-eight million, thirty-two thousand, five hundred twelve".