6403872 has 48 divisors (see below), whose sum is σ = 17230752. Its totient is φ = 2081280.

The previous prime is 6403853. The next prime is 6403877. The reversal of 6403872 is 2783046.

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

It is not an unprimeable number, because it can be changed into a prime (6403877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3123 + ... + 4749.

It is an arithmetic number, because the mean of its divisors is an integer number (358974).

Almost surely, 2^6403872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6403872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8615376).

6403872 is an abundant number, since it is smaller than the sum of its proper divisors (10826880).

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

6403872 is a wasteful number, since it uses less digits than its factorization.

6403872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6403872 is about 2530.5872836162. The cubic root of 6403872 is about 185.7009879461.

The spelling of 6403872 in words is "six million, four hundred three thousand, eight hundred seventy-two".