6404814 has 48 divisors (see below), whose sum is σ = 15148224. Its totient is φ = 1944000.

The previous prime is 6404809. The next prime is 6404819. The reversal of 6404814 is 4184046.

6404814 is a `hidden beast` number, since 640 + 4 + 8 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (6404809) and next prime (6404819).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6404819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23499 + ... + 23769.

It is an arithmetic number, because the mean of its divisors is an integer number (315588).

Almost surely, 2^6404814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6404814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574112).

6404814 is an abundant number, since it is smaller than the sum of its proper divisors (8743410).

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

6404814 is a wasteful number, since it uses less digits than its factorization.

6404814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 6404814 is about 2530.7733995757. The cubic root of 6404814 is about 185.7100929456.

The spelling of 6404814 in words is "six million, four hundred four thousand, eight hundred fourteen".