248092992 has 168 divisors, whose sum is σ = 835168256. Its totient is φ = 68926464.

The previous prime is 248092991. The next prime is 248092993. The reversal of 248092992 is 299290842.

It is an interprime number because it is at equal distance from previous prime (248092991) and next prime (248092993).

It is a tau number, because it is divible by the number of its divisors (168).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248092991) 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, 148353 + ... + 150015.

Almost surely, 2^248092992 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 248092992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417584128).

248092992 is an abundant number, since it is smaller than the sum of its proper divisors (587075264).

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

248092992 is a wasteful number, since it uses less digits than its factorization.

248092992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 248092992 is about 15750.9679702550. The cubic root of 248092992 is about 628.3546484258.

The spelling of 248092992 in words is "two hundred forty-eight million, ninety-two thousand, nine hundred ninety-two".