248196312 has 384 divisors, whose sum is σ = 909941760. Its totient is φ = 61585920.

The previous prime is 248196307. The next prime is 248196313. The reversal of 248196312 is 213691842.

248196312 is a `hidden beast` number, since 2 + 4 + 8 + 19 + 631 + 2 = 666.

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

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 (248196313) 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, 4068762 + ... + 4068822.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2^248196312 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 248196312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

248196312 is an abundant number, since it is smaller than the sum of its proper divisors (661745448).

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

248196312 is a wasteful number, since it uses less digits than its factorization.

248196312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 248196312 is about 15754.2474272813. The cubic root of 248196312 is about 628.4418638304.

The spelling of 248196312 in words is "two hundred forty-eight million, one hundred ninety-six thousand, three hundred twelve".