248504640 has 112 divisors (see below), whose sum is σ = 835468992. Its totient is φ = 62365696.

The previous prime is 248504603. The next prime is 248504647. The reversal of 248504640 is 46405842.

248504640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248504640² = 123509112203059200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248504647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8707 + ... + 23933.

Almost surely, 2^248504640 is an apocalyptic number.

248504640 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 248504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417734496).

248504640 is an abundant number, since it is smaller than the sum of its proper divisors (586964352).

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

248504640 is a wasteful number, since it uses less digits than its factorization.

248504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15264 (or 15254 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 248504640 is about 15764.0299416107. The cubic root of 248504640 is about 628.7019886214.

The spelling of 248504640 in words is "two hundred forty-eight million, five hundred four thousand, six hundred forty".