6414464 has 32 divisors (see below), whose sum is σ = 14606400. Its totient is φ = 2748672.

The previous prime is 6414461. The next prime is 6414467. The reversal of 6414464 is 4644146.

It is an interprime number because it is at equal distance from previous prime (6414461) and next prime (6414467).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×6414464² = 82290696814592, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6414461) 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 3 ways as a sum of consecutive naturals, for example, 2684 + ... + 4475.

It is an arithmetic number, because the mean of its divisors is an integer number (456450).

Almost surely, 2^6414464 is an apocalyptic number.

6414464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6414464 is an abundant number, since it is smaller than the sum of its proper divisors (8191936).

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

6414464 is an equidigital number, since it uses as much as digits as its factorization.

6414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7180 (or 7168 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 6414464 is about 2532.6792137971. The cubic root of 6414464 is about 185.8033146540.

The spelling of 6414464 in words is "six million, four hundred fourteen thousand, four hundred sixty-four".