248430 has 72 divisors (see below), whose sum is σ = 751032. Its totient is φ = 52416.

The previous prime is 248407. The next prime is 248431. The reversal of 248430 is 34842.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 248397 and 248406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248431) by changing a digit.

248430 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 35 ways as a sum of consecutive naturals, for example, 19104 + ... + 19116.

It is an arithmetic number, because the mean of its divisors is an integer number (10431).

2²⁴⁸⁴³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375516).

248430 is an abundant number, since it is smaller than the sum of its proper divisors (502602).

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

248430 is a wasteful number, since it uses less digits than its factorization.

248430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 248430 is about 498.4275273297. The cubic root of 248430 is about 62.8639037395.

The spelling of 248430 in words is "two hundred forty-eight thousand, four hundred thirty".