248279620 has 96 divisors (see below), whose sum is σ = 563834880. Its totient is φ = 91653120.

The previous prime is 248279609. The next prime is 248279621. The reversal of 248279620 is 26972842.

It is not an unprimeable number, because it can be changed into a prime (248279621) 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 31 ways as a sum of consecutive naturals, for example, 1812192 + ... + 1812328.

It is an arithmetic number, because the mean of its divisors is an integer number (5873280).

Almost surely, 2^248279620 is an apocalyptic number.

248279620 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 248279620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281917440).

248279620 is an abundant number, since it is smaller than the sum of its proper divisors (315555260).

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

248279620 is a wasteful number, since it uses less digits than its factorization.

248279620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 248279620 is about 15756.8911908409. The cubic root of 248279620 is about 628.5121689018.

The spelling of 248279620 in words is "two hundred forty-eight million, two hundred seventy-nine thousand, six hundred twenty".