248020992 has 144 divisors (see below), whose sum is σ = 742052805. Its totient is φ = 79822848.

The previous prime is 248020991. The next prime is 248020999. The reversal of 248020992 is 299020842.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 247873536 + 147456 = 15744^2 + 384^2 .

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

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11136.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (248020991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8552434 + ... + 8552462.

Almost surely, 2^248020992 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 248020992

248020992 is an abundant number, since it is smaller than the sum of its proper divisors (494031813).

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

248020992 is an frugal number, since it uses more digits than its factorization.

248020992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 248020992 is about 15748.6822305868. The cubic root of 248020992 is about 628.2938568229.

The spelling of 248020992 in words is "two hundred forty-eight million, twenty thousand, nine hundred ninety-two".