248778 has 32 divisors (see below), whose sum is σ = 587520. Its totient is φ = 77760.

The previous prime is 248753. The next prime is 248779. The reversal of 248778 is 877842.

It is a d-powerful number, because it can be written as 2¹⁵ + 4⁸ + 7² + 8 + 7⁶ + 8⁵ .

It is a Curzon number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (248779) by changing a digit.

248778 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 783 + ... + 1053.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2²⁴⁸⁷⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293760).

248778 is an abundant number, since it is smaller than the sum of its proper divisors (338742).

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

248778 is a wasteful number, since it uses less digits than its factorization.

248778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 248778 is about 498.7765030552. The cubic root of 248778 is about 62.8932432336.

The spelling of 248778 in words is "two hundred forty-eight thousand, seven hundred seventy-eight".