248574312 has 128 divisors (see below), whose sum is σ = 816480000. Its totient is φ = 68560128.

The previous prime is 248574281. The next prime is 248574331. The reversal of 248574312 is 213475842.

It is a happy number.

248574312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41014 + ... + 46682.

It is an arithmetic number, because the mean of its divisors is an integer number (6378750).

Almost surely, 2^248574312 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 248574312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240000).

248574312 is an abundant number, since it is smaller than the sum of its proper divisors (567905688).

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

248574312 is a wasteful number, since it uses less digits than its factorization.

248574312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5720 (or 5710 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 248574312 is about 15766.2396277616. The cubic root of 248574312 is about 628.7607384728.

The spelling of 248574312 in words is "two hundred forty-eight million, five hundred seventy-four thousand, three hundred twelve".