248624640 has 400 divisors, whose sum is σ = 980361360. Its totient is φ = 59719680.

The previous prime is 248624639. The next prime is 248624647. The reversal of 248624640 is 46426842.

It is a happy number.

248624640 is a `hidden beast` number, since 2 + 4 + 8 + 6 + 2 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 248624595 and 248624604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248624647) 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, 2280906 + ... + 2281014.

Almost surely, 2^248624640 is an apocalyptic number.

248624640 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 248624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490180680).

248624640 is an abundant number, since it is smaller than the sum of its proper divisors (731736720).

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

248624640 is a wasteful number, since it uses less digits than its factorization.

248624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 248624640 is about 15767.8356155815. The cubic root of 248624640 is about 628.8031699625.

The spelling of 248624640 in words is "two hundred forty-eight million, six hundred twenty-four thousand, six hundred forty".