248004092 has 84 divisors (see below), whose sum is σ = 553420224. Its totient is φ = 96808320.

The previous prime is 248004079. The next prime is 248004149. The reversal of 248004092 is 290400842.

248004092 is a modest number, since divided by 4092 gives 248 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8000117 + ... + 8000147.

It is an arithmetic number, because the mean of its divisors is an integer number (6588336).

Almost surely, 2^248004092 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 248004092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276710112).

248004092 is an abundant number, since it is smaller than the sum of its proper divisors (305416132).

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

248004092 is an frugal number, since it uses more digits than its factorization.

248004092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 248004092 is about 15748.1456686176. The cubic root of 248004092 is about 628.2795859780.

The spelling of 248004092 in words is "two hundred forty-eight million, four thousand, ninety-two".