248472576 has 352 divisors, whose sum is σ = 864652800. Its totient is φ = 69672960.

The previous prime is 248472569. The next prime is 248472577. The reversal of 248472576 is 675274842.

It is a happy number.

248472576 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 72 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is not an unprimeable number, because it can be changed into a prime (248472577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5778411 + ... + 5778453.

It is an arithmetic number, because the mean of its divisors is an integer number (2456400).

Almost surely, 2^248472576 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 248472576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432326400).

248472576 is an abundant number, since it is smaller than the sum of its proper divisors (616180224).

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

248472576 is a wasteful number, since it uses less digits than its factorization.

248472576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 248472576 is about 15763.0129099738. The cubic root of 248472576 is about 628.6749474528.

The spelling of 248472576 in words is "two hundred forty-eight million, four hundred seventy-two thousand, five hundred seventy-six".