248725312 has 56 divisors (see below), whose sum is σ = 561880512. Its totient is φ = 108134400.

The previous prime is 248725273. The next prime is 248725331. The reversal of 248725312 is 213527842.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8512 + ... + 23872.

Almost surely, 2^248725312 is an apocalyptic number.

248725312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248725312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280940256).

248725312 is an abundant number, since it is smaller than the sum of its proper divisors (313155200).

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

248725312 is a wasteful number, since it uses less digits than its factorization.

248725312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15407 (or 15397 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 248725312 is about 15771.0276139508. The cubic root of 248725312 is about 628.8880292515. Note that the first 3 decimals are identical.

The spelling of 248725312 in words is "two hundred forty-eight million, seven hundred twenty-five thousand, three hundred twelve".