248070732 has 288 divisors, whose sum is σ = 810819072. Its totient is φ = 58189824.

The previous prime is 248070731. The next prime is 248070733. The reversal of 248070732 is 237070842.

It is an interprime number because it is at equal distance from previous prime (248070731) and next prime (248070733).

It is a super-4 number, since 4×248070732⁴ (a number of 35 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248070693 and 248070702.

It is not an unprimeable number, because it can be changed into a prime (248070731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2988763 + ... + 2988845.

It is an arithmetic number, because the mean of its divisors is an integer number (2815344).

Almost surely, 2^248070732 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 248070732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405409536).

248070732 is an abundant number, since it is smaller than the sum of its proper divisors (562748340).

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

248070732 is a wasteful number, since it uses less digits than its factorization.

248070732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 248070732 is about 15750.2613311653. The cubic root of 248070732 is about 628.3358549448.

The spelling of 248070732 in words is "two hundred forty-eight million, seventy thousand, seven hundred thirty-two".