248243424 has 192 divisors, whose sum is σ = 777288960. Its totient is φ = 68789760.

The previous prime is 248243423. The next prime is 248243431. The reversal of 248243424 is 424342842.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248243423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2319979 + ... + 2320085.

It is an arithmetic number, because the mean of its divisors is an integer number (4048380).

Almost surely, 2^248243424 is an apocalyptic number.

248243424 is a gapful number since it is divisible by the number (24) 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 248243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388644480).

248243424 is an abundant number, since it is smaller than the sum of its proper divisors (529045536).

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

248243424 is a wasteful number, since it uses less digits than its factorization.

248243424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

The square root of 248243424 is about 15755.7425721544. The cubic root of 248243424 is about 628.4816243997.

The spelling of 248243424 in words is "two hundred forty-eight million, two hundred forty-three thousand, four hundred twenty-four".