248430240 has 240 divisors, whose sum is σ = 908356680. Its totient is φ = 63866880.

The previous prime is 248430229. The next prime is 248430241. The reversal of 248430240 is 42034842.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 227527056 + 20903184 = 15084^2 + 4572^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (248430241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375510 + ... + 376170.

Almost surely, 2^248430240 is an apocalyptic number.

248430240 is a gapful number since it is divisible by the number (20) 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 248430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454178340).

248430240 is an abundant number, since it is smaller than the sum of its proper divisors (659926440).

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

248430240 is a wasteful number, since it uses less digits than its factorization.

248430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 248430240 is about 15761.6699622851. The cubic root of 248430240 is about 628.6392398309.

The spelling of 248430240 in words is "two hundred forty-eight million, four hundred thirty thousand, two hundred forty".