248558772 has 144 divisors (see below), whose sum is σ = 746468352. Its totient is φ = 63645120.

The previous prime is 248558771. The next prime is 248558777. The reversal of 248558772 is 277855842.

248558772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248558771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536613 + ... + 537075.

It is an arithmetic number, because the mean of its divisors is an integer number (5183808).

Almost surely, 2^248558772 is an apocalyptic number.

248558772 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 248558772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373234176).

248558772 is an abundant number, since it is smaller than the sum of its proper divisors (497909580).

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

248558772 is a wasteful number, since it uses less digits than its factorization.

248558772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 569 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The square root of 248558772 is about 15765.7467948715. The cubic root of 248558772 is about 628.7476355561.

The spelling of 248558772 in words is "two hundred forty-eight million, five hundred fifty-eight thousand, seven hundred seventy-two".