248355720 has 256 divisors, whose sum is σ = 892684800. Its totient is φ = 61959168.

The previous prime is 248355713. The next prime is 248355727. The reversal of 248355720 is 27553842.

248355720 is a `hidden beast` number, since 2 + 4 + 83 + 5 + 572 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (248355713) and next prime (248355727).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (248355727) 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, 1487077 + ... + 1487243.

It is an arithmetic number, because the mean of its divisors is an integer number (3487050).

Almost surely, 2^248355720 is an apocalyptic number.

248355720 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 248355720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446342400).

248355720 is an abundant number, since it is smaller than the sum of its proper divisors (644329080).

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

248355720 is a wasteful number, since it uses less digits than its factorization.

248355720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 248355720 is about 15759.3058222753. The cubic root of 248355720 is about 628.5763772731.

The spelling of 248355720 in words is "two hundred forty-eight million, three hundred fifty-five thousand, seven hundred twenty".