248024672 has 96 divisors (see below), whose sum is σ = 580608000. Its totient is φ = 104221824.

The previous prime is 248024671. The next prime is 248024701. The reversal of 248024672 is 276420842.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248024671) 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, 647393 + ... + 647775.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2^248024672 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 248024672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

248024672 is an abundant number, since it is smaller than the sum of its proper divisors (332583328).

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

248024672 is an equidigital number, since it uses as much as digits as its factorization.

248024672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 248024672 is about 15748.7990653256. The cubic root of 248024672 is about 628.2969642346.

The spelling of 248024672 in words is "two hundred forty-eight million, twenty-four thousand, six hundred seventy-two".