248016420 has 72 divisors (see below), whose sum is σ = 759278520. Its totient is φ = 65525760.

The previous prime is 248016413. The next prime is 248016427. The reversal of 248016420 is 24610842.

248016420 is a `hidden beast` number, since 2 + 480 + 164 + 20 = 666.

248016420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248016413) and next prime (248016427).

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 247684644 = 576^2 + 15738^2 .

It is not an unprimeable number, because it can be changed into a prime (248016427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13300 + ... + 25940.

It is an arithmetic number, because the mean of its divisors is an integer number (10545535).

Almost surely, 2^248016420 is an apocalyptic number.

248016420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248016420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379639260).

248016420 is an abundant number, since it is smaller than the sum of its proper divisors (511262100).

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

248016420 is a wasteful number, since it uses less digits than its factorization.

248016420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12765 (or 12760 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 248016420 is about 15748.5370749159. The cubic root of 248016420 is about 628.2899961589.

The spelling of 248016420 in words is "two hundred forty-eight million, sixteen thousand, four hundred twenty".