248652336 has 80 divisors (see below), whose sum is σ = 682643808. Its totient is φ = 77721600.

The previous prime is 248652323. The next prime is 248652347. The reversal of 248652336 is 633256842.

It is a happy number.

It is a super-4 number, since 4×248652336⁴ (a number of 35 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248652294 and 248652303.

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 15 ways as a sum of consecutive naturals, for example, 375846 + ... + 376506.

Almost surely, 2^248652336 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 248652336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341321904).

248652336 is an abundant number, since it is smaller than the sum of its proper divisors (433991472).

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

248652336 is a wasteful number, since it uses less digits than its factorization.

248652336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1144 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 248652336 is about 15768.7138346791. The cubic root of 248652336 is about 628.8265179915.

The spelling of 248652336 in words is "two hundred forty-eight million, six hundred fifty-two thousand, three hundred thirty-six".