248598820 has 24 divisors (see below), whose sum is σ = 552767544. Its totient is φ = 93590016.

The previous prime is 248598787. The next prime is 248598821. The reversal of 248598820 is 28895842.

248598820 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38464804 + 210134016 = 6202^2 + 14496^2 .

248598820 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (248598821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365247 + ... + 365926.

It is an arithmetic number, because the mean of its divisors is an integer number (23031981).

Almost surely, 2^248598820 is an apocalyptic number.

248598820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248598820 is an abundant number, since it is smaller than the sum of its proper divisors (304168724).

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

248598820 is a wasteful number, since it uses less digits than its factorization.

248598820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731199 (or 731197 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 248598820 is about 15767.0168389585. The cubic root of 248598820 is about 628.7814018600.

The spelling of 248598820 in words is "two hundred forty-eight million, five hundred ninety-eight thousand, eight hundred twenty".