248999712 has 96 divisors (see below), whose sum is σ = 741021120. Its totient is φ = 72576000.

The previous prime is 248999701. The next prime is 248999789. The reversal of 248999712 is 217999842.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18462 + ... + 28962.

It is an arithmetic number, because the mean of its divisors is an integer number (7718970).

Almost surely, 2^248999712 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 248999712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370510560).

248999712 is an abundant number, since it is smaller than the sum of its proper divisors (492021408).

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

248999712 is a wasteful number, since it uses less digits than its factorization.

248999712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10546 (or 10538 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The square root of 248999712 is about 15779.7247124277. The cubic root of 248999712 is about 629.1192126035.

It can be divided in two parts, 2489 and 99712, that added together give a palindrome (102201).

The spelling of 248999712 in words is "two hundred forty-eight million, nine hundred ninety-nine thousand, seven hundred twelve".