248427720 has 96 divisors (see below), whose sum is σ = 809335800. Its totient is φ = 66087936.

The previous prime is 248427713. The next prime is 248427721. The reversal of 248427720 is 27724842.

It can be written as a sum of positive squares in 4 ways, for example, as 187306596 + 61121124 = 13686^2 + 7818^2 .

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 (248427721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290814 + ... + 291666.

Almost surely, 2^248427720 is an apocalyptic number.

248427720 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 248427720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404667900).

248427720 is an abundant number, since it is smaller than the sum of its proper divisors (560908080).

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

248427720 is a wasteful number, since it uses less digits than its factorization.

248427720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 248427720 is about 15761.5900213145. The cubic root of 248427720 is about 628.6371142493.

The spelling of 248427720 in words is "two hundred forty-eight million, four hundred twenty-seven thousand, seven hundred twenty".