248042592 has 144 divisors (see below), whose sum is σ = 819760032. Its totient is φ = 69672960.

The previous prime is 248042537. The next prime is 248042593. The reversal of 248042592 is 295240842.

248042592 is a `hidden beast` number, since 24 + 8 + 0 + 42 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248042593) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121968 + ... + 123984.

It is an arithmetic number, because the mean of its divisors is an integer number (5692778).

Almost surely, 2^248042592 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 248042592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409880016).

248042592 is an abundant number, since it is smaller than the sum of its proper divisors (571717440).

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

248042592 is a wasteful number, since it uses less digits than its factorization.

248042592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 248042592 is about 15749.3679873194. The cubic root of 248042592 is about 628.3120955390.

The spelling of 248042592 in words is "two hundred forty-eight million, forty-two thousand, five hundred ninety-two".