6407424 has 108 divisors (see below), whose sum is σ = 19344416. Its totient is φ = 2115072.

The previous prime is 6407417. The next prime is 6407431. The reversal of 6407424 is 4247046.

It is an interprime number because it is at equal distance from previous prime (6407417) and next prime (6407431).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 62157 + ... + 62259.

Almost surely, 2^6407424 is an apocalyptic number.

6407424 is a gapful number since it is divisible by the number (64) 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 6407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9672208).

6407424 is an abundant number, since it is smaller than the sum of its proper divisors (12936992).

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

6407424 is an equidigital number, since it uses as much as digits as its factorization.

6407424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 6407424 is about 2531.2889996996. The cubic root of 6407424 is about 185.7353155109.

The spelling of 6407424 in words is "six million, four hundred seven thousand, four hundred twenty-four".