246426400 has 144 divisors (see below), whose sum is σ = 673269408. Its totient is φ = 87296000.

The previous prime is 246426379. The next prime is 246426403. The reversal of 246426400 is 4624642.

246426400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (246426403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 360459 + ... + 361141.

It is an arithmetic number, because the mean of its divisors is an integer number (4675482).

Almost surely, 2^246426400 is an apocalyptic number.

246426400 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 246426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336634704).

246426400 is an abundant number, since it is smaller than the sum of its proper divisors (426843008).

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

246426400 is a wasteful number, since it uses less digits than its factorization.

246426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 246426400 is about 15697.9743916214. The cubic root of 246426400 is about 626.9444721711.

The spelling of 246426400 in words is "two hundred forty-six million, four hundred twenty-six thousand, four hundred".