2446464 has 64 divisors (see below), whose sum is σ = 6805440. Its totient is φ = 777216.

The previous prime is 2446463. The next prime is 2446471. The reversal of 2446464 is 4646442.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2446464² = 11970372206592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2446463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8694 + ... + 8970.

It is an arithmetic number, because the mean of its divisors is an integer number (106335).

2^2446464 is an apocalyptic number.

2446464 is a gapful number since it is divisible by the number (24) 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 2446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402720).

2446464 is an abundant number, since it is smaller than the sum of its proper divisors (4358976).

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

2446464 is a wasteful number, since it uses less digits than its factorization.

2446464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 2446464 is about 1564.1176426343. The cubic root of 2446464 is about 134.7450882426.

It can be divided in two parts, 244646 and 4, that added together give a triangular number (244650 = T₆₉₉).

The spelling of 2446464 in words is "two million, four hundred forty-six thousand, four hundred sixty-four".