248406592 has 56 divisors (see below), whose sum is σ = 564879744. Its totient is φ = 106171392.

The previous prime is 248406581. The next prime is 248406593. The reversal of 248406592 is 295604842.

248406592 is digitally balanced in base 3, 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 (56).

It is not an unprimeable number, because it can be changed into a prime (248406593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289428 + ... + 290284.

Almost surely, 2^248406592 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 248406592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282439872).

248406592 is an abundant number, since it is smaller than the sum of its proper divisors (316473152).

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

248406592 is an equidigital number, since it uses as much as digits as its factorization.

248406592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 248406592 is about 15760.9197701149. The cubic root of 248406592 is about 628.6192925378.

The spelling of 248406592 in words is "two hundred forty-eight million, four hundred six thousand, five hundred ninety-two".