248488704 has 108 divisors (see below), whose sum is σ = 741358800. Its totient is φ = 79951872.

The previous prime is 248488703. The next prime is 248488739. The reversal of 248488704 is 407884842.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 248488704.

It is not an unprimeable number, because it can be changed into a prime (248488703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64957 + ... + 68675.

Almost surely, 2^248488704 is an apocalyptic number.

248488704 is a gapful number since it is divisible by the number (24) 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 248488704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370679400).

248488704 is an abundant number, since it is smaller than the sum of its proper divisors (492870096).

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

248488704 is a wasteful number, since it uses less digits than its factorization.

248488704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 248488704 is about 15763.5244789990. The cubic root of 248488704 is about 628.6885492895.

The spelling of 248488704 in words is "two hundred forty-eight million, four hundred eighty-eight thousand, seven hundred four".