246882816 has 100 divisors (see below), whose sum is σ = 737003982. Its totient is φ = 82280448.

The previous prime is 246882809. The next prime is 246882877. The reversal of 246882816 is 618288642.

It can be written as a sum of positive squares in only one way, i.e., 246364416 + 518400 = 15696^2 + 720^2 .

It is a super-2 number, since 2×246882816² = 121902249672179712, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38496 + ... + 44448.

Almost surely, 2^246882816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 246882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368501991).

246882816 is an abundant number, since it is smaller than the sum of its proper divisors (490121166).

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

246882816 is an frugal number, since it uses more digits than its factorization.

246882816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983 (or 5958 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 246882816 is about 15712.5050835314. The cubic root of 246882816 is about 627.3312962669.

The spelling of 246882816 in words is "two hundred forty-six million, eight hundred eighty-two thousand, eight hundred sixteen".