248369520 has 320 divisors, whose sum is σ = 959938560. Its totient is φ = 51840000.

The previous prime is 248369519. The next prime is 248369521. The reversal of 248369520 is 25963842.

It is a happy number.

248369520 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 (248369519) and next prime (248369521).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248369521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 989395 + ... + 989645.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 2^248369520 is an apocalyptic number.

248369520 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 248369520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

248369520 is an abundant number, since it is smaller than the sum of its proper divisors (711569040).

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

248369520 is a wasteful number, since it uses less digits than its factorization.

248369520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 248369520 is about 15759.7436527375. The cubic root of 248369520 is about 628.5880194362.

The spelling of 248369520 in words is "two hundred forty-eight million, three hundred sixty-nine thousand, five hundred twenty".