248288640 has 128 divisors (see below), whose sum is σ = 800863200. Its totient is φ = 65421312.

The previous prime is 248288627. The next prime is 248288659. The reversal of 248288640 is 46882842.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 248288592 and 248288601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170154 + ... + 171606.

Almost surely, 2^248288640 is an apocalyptic number.

248288640 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 248288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400431600).

248288640 is an abundant number, since it is smaller than the sum of its proper divisors (552574560).

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

248288640 is a wasteful number, since it uses less digits than its factorization.

248288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 248288640 is about 15757.1774122144. The cubic root of 248288640 is about 628.5197800931.

The spelling of 248288640 in words is "two hundred forty-eight million, two hundred eighty-eight thousand, six hundred forty".