248417280 has 220 divisors, whose sum is σ = 891673200. Its totient is φ = 66134016.

The previous prime is 248417269. The next prime is 248417287. The reversal of 248417280 is 82714842.

248417280 is a `hidden beast` number, since 2 + 484 + 172 + 8 + 0 = 666.

It is a super-2 number, since 2×248417280² = 123422290005196800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248417287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414421 + ... + 415019.

It is an arithmetic number, because the mean of its divisors is an integer number (4053060).

Almost surely, 2^248417280 is an apocalyptic number.

248417280 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 248417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445836600).

248417280 is an abundant number, since it is smaller than the sum of its proper divisors (643255920).

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

248417280 is an equidigital number, since it uses as much as digits as its factorization.

248417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 248417280 is about 15761.2588329740. The cubic root of 248417280 is about 628.6283081153.

The spelling of 248417280 in words is "two hundred forty-eight million, four hundred seventeen thousand, two hundred eighty".