248114820 has 48 divisors (see below), whose sum is σ = 700213248. Its totient is φ = 65640960.

The previous prime is 248114791. The next prime is 248114837. The reversal of 248114820 is 28411842.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8661 + ... + 23900.

It is an arithmetic number, because the mean of its divisors is an integer number (14587776).

Almost surely, 2^248114820 is an apocalyptic number.

248114820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248114820 is an abundant number, since it is smaller than the sum of its proper divisors (452098428).

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

248114820 is a wasteful number, since it uses less digits than its factorization.

248114820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32700 (or 32698 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 248114820 is about 15751.6608648104. The cubic root of 248114820 is about 628.3730760900.

The spelling of 248114820 in words is "two hundred forty-eight million, one hundred fourteen thousand, eight hundred twenty".