6442464 has 48 divisors (see below), whose sum is σ = 19329408. Its totient is φ = 1840512.

The previous prime is 6442459. The next prime is 6442481. The reversal of 6442464 is 4642446.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 4122 + ... + 5465.

It is an arithmetic number, because the mean of its divisors is an integer number (402696).

Almost surely, 2^6442464 is an apocalyptic number.

It is an amenable number.

6442464 is an abundant number, since it is smaller than the sum of its proper divisors (12886944).

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

6442464 is a wasteful number, since it uses less digits than its factorization.

6442464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9607 (or 9599 counting only the distinct ones).

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

The square root of 6442464 is about 2538.2009376722. The cubic root of 6442464 is about 186.0732744019.

The spelling of 6442464 in words is "six million, four hundred forty-two thousand, four hundred sixty-four".