248820820 has 48 divisors (see below), whose sum is σ = 537481728. Its totient is φ = 96710400.

The previous prime is 248820791. The next prime is 248820821. The reversal of 248820820 is 28028842.

248820820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248820821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141064 + ... + 142816.

It is an arithmetic number, because the mean of its divisors is an integer number (11197536).

Almost surely, 2^248820820 is an apocalyptic number.

248820820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248820820 is an abundant number, since it is smaller than the sum of its proper divisors (288660908).

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

248820820 is a wasteful number, since it uses less digits than its factorization.

248820820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 248820820 is about 15774.0552807450. The cubic root of 248820820 is about 628.9685144945.

The spelling of 248820820 in words is "two hundred forty-eight million, eight hundred twenty thousand, eight hundred twenty".