246048768 has 144 divisors (see below), whose sum is σ = 812579040. Its totient is φ = 70262784.

The previous prime is 246048721. The next prime is 246048791. The reversal of 246048768 is 867840642.

246048768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128071 + ... + 129977.

It is an arithmetic number, because the mean of its divisors is an integer number (5642910).

Almost surely, 2^246048768 is an apocalyptic number.

246048768 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 246048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406289520).

246048768 is an abundant number, since it is smaller than the sum of its proper divisors (566530272).

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

246048768 is a wasteful number, since it uses less digits than its factorization.

246048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 246048768 is about 15685.9417313721. The cubic root of 246048768 is about 626.6240582670.

The spelling of 246048768 in words is "two hundred forty-six million, forty-eight thousand, seven hundred sixty-eight".