248435072 has 32 divisors (see below), whose sum is σ = 507011400. Its totient is φ = 121185280.

The previous prime is 248435071. The next prime is 248435087. The reversal of 248435072 is 270534842.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248435071) 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 3 ways as a sum of consecutive naturals, for example, 18422 + ... + 28917.

Almost surely, 2^248435072 is an apocalyptic number.

It is an amenable number.

248435072 is an abundant number, since it is smaller than the sum of its proper divisors (258576328).

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

248435072 is an equidigital number, since it uses as much as digits as its factorization.

248435072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47394 (or 47382 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 248435072 is about 15761.8232447899. The cubic root of 248435072 is about 628.6433155091.

The spelling of 248435072 in words is "two hundred forty-eight million, four hundred thirty-five thousand, seventy-two".