248941504 has 56 divisors (see below), whose sum is σ = 578376288. Its totient is φ = 104079360.

The previous prime is 248941499. The next prime is 248941507. The reversal of 248941504 is 405149842.

248941504 is digitally balanced in base 2, 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248941507) 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, 11592 + ... + 25144.

It is an arithmetic number, because the mean of its divisors is an integer number (10328148).

Almost surely, 2^248941504 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 248941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289188144).

248941504 is an abundant number, since it is smaller than the sum of its proper divisors (329434784).

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

248941504 is a wasteful number, since it uses less digits than its factorization.

248941504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13613 (or 13603 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 248941504 is about 15777.8802125000. The cubic root of 248941504 is about 629.0701862750.

The spelling of 248941504 in words is "two hundred forty-eight million, nine hundred forty-one thousand, five hundred four".