248976 has 120 divisors (see below), whose sum is σ = 902720. Its totient is φ = 62208.

The previous prime is 248971. The next prime is 248981. The reversal of 248976 is 679842.

It is an interprime number because it is at equal distance from previous prime (248971) and next prime (248981).

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 248976.

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

248976 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 23 ways as a sum of consecutive naturals, for example, 13095 + ... + 13113.

2²⁴⁸⁹⁷⁶ is an apocalyptic number.

248976 is a gapful number since it is divisible by the number (26) 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 248976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451360).

248976 is an abundant number, since it is smaller than the sum of its proper divisors (653744).

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

248976 is a wasteful number, since it uses less digits than its factorization.

248976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 44 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 248976 is about 498.9749492710. The cubic root of 248976 is about 62.9099241833.

The spelling of 248976 in words is "two hundred forty-eight thousand, nine hundred seventy-six".