248265992 has 64 divisors (see below), whose sum is σ = 518600880. Its totient is φ = 110702592.

The previous prime is 248265991. The next prime is 248266003. The reversal of 248265992 is 299562842.

It can be written as a sum of positive squares in 8 ways, for example, as 43375396 + 204890596 = 6586^2 + 14314^2 .

It is not an unprimeable number, because it can be changed into a prime (248265991) 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 15 ways as a sum of consecutive naturals, for example, 402068 + ... + 402684.

Almost surely, 2^248265992 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 248265992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259300440).

248265992 is an abundant number, since it is smaller than the sum of its proper divisors (270334888).

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

248265992 is a wasteful number, since it uses less digits than its factorization.

248265992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 758 counting only the distinct ones).

The product of its digits is 622080, while the sum is 47.

The square root of 248265992 is about 15756.4587391964. The cubic root of 248265992 is about 628.5006690714.

The spelling of 248265992 in words is "two hundred forty-eight million, two hundred sixty-five thousand, nine hundred ninety-two".