248885472 has 96 divisors (see below), whose sum is σ = 716736384. Its totient is φ = 74995200.

The previous prime is 248885467. The next prime is 248885473. The reversal of 248885472 is 274588842.

248885472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248885473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222258 + ... + 223374.

It is an arithmetic number, because the mean of its divisors is an integer number (7466004).

Almost surely, 2^248885472 is an apocalyptic number.

248885472 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 248885472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358368192).

248885472 is an abundant number, since it is smaller than the sum of its proper divisors (467850912).

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

248885472 is a wasteful number, since it uses less digits than its factorization.

248885472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1344 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 48.

The square root of 248885472 is about 15776.1044621288. The cubic root of 248885472 is about 629.0229854869.

The spelling of 248885472 in words is "two hundred forty-eight million, eight hundred eighty-five thousand, four hundred seventy-two".