248688312 has 32 divisors (see below), whose sum is σ = 622112400. Its totient is φ = 82843904.

The previous prime is 248688281. The next prime is 248688317. The reversal of 248688312 is 213886842.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248688317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63598 + ... + 67394.

Almost surely, 2^248688312 is an apocalyptic number.

It is an amenable number.

248688312 is an abundant number, since it is smaller than the sum of its proper divisors (373424088).

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

248688312 is a wasteful number, since it uses less digits than its factorization.

248688312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535 (or 6531 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 248688312 is about 15769.8545332543. The cubic root of 248688312 is about 628.8568435620.

The spelling of 248688312 in words is "two hundred forty-eight million, six hundred eighty-eight thousand, three hundred twelve".