248970 has 32 divisors (see below), whose sum is σ = 614592. Its totient is φ = 64512.

The previous prime is 248909. The next prime is 248971. The reversal of 248970 is 79842.

248970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (248971) by changing a digit.

248970 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1194 + ... + 1386.

It is an arithmetic number, because the mean of its divisors is an integer number (19206).

2²⁴⁸⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307296).

248970 is an abundant number, since it is smaller than the sum of its proper divisors (365622).

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

248970 is a wasteful number, since it uses less digits than its factorization.

248970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 248970 is about 498.9689369089. The cubic root of 248970 is about 62.9094188299.

The spelling of 248970 in words is "two hundred forty-eight thousand, nine hundred seventy".