246663648 has 288 divisors, whose sum is σ = 896313600. Its totient is φ = 63786240.

The previous prime is 246663631. The next prime is 246663653. The reversal of 246663648 is 846366642.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086511 + ... + 1086737.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2^246663648 is an apocalyptic number.

246663648 is a gapful number since it is divisible by the number (28) 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 246663648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448156800).

246663648 is an abundant number, since it is smaller than the sum of its proper divisors (649649952).

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

246663648 is a wasteful number, since it uses less digits than its factorization.

246663648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 250 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 246663648 is about 15705.5292174444. The cubic root of 246663648 is about 627.1456054018.

The spelling of 246663648 in words is "two hundred forty-six million, six hundred sixty-three thousand, six hundred forty-eight".