248952312 has 128 divisors (see below), whose sum is σ = 794880000. Its totient is φ = 70720128.

The previous prime is 248952311. The next prime is 248952323. The reversal of 248952312 is 213259842.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248952311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345889 + ... + 346607.

It is an arithmetic number, because the mean of its divisors is an integer number (6210000).

Almost surely, 2^248952312 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 248952312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397440000).

248952312 is an abundant number, since it is smaller than the sum of its proper divisors (545927688).

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

248952312 is a wasteful number, since it uses less digits than its factorization.

248952312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 960 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 248952312 is about 15778.2227136012. Note that the first 3 decimals coincide. The cubic root of 248952312 is about 629.0792900096.

The spelling of 248952312 in words is "two hundred forty-eight million, nine hundred fifty-two thousand, three hundred twelve".