6404000 has 48 divisors (see below), whose sum is σ = 15744456. Its totient is φ = 2560000.

The previous prime is 6403993. The next prime is 6404003. The reversal of 6404000 is 4046.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4177936 + 2226064 = 2044^2 + 1492^2 .

It is a super-2 number, since 2×6404000² = 82022432000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6404003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3200 + ... + 4800.

Almost surely, 2^6404000 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 6404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872228).

6404000 is an abundant number, since it is smaller than the sum of its proper divisors (9340456).

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

6404000 is a wasteful number, since it uses less digits than its factorization.

6404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 6404000 is about 2530.6125740619. The cubic root of 6404000 is about 185.7022251959.

Adding to 6404000 its reverse (4046), we get a palindrome (6408046).

It can be divided in two parts, 640 and 4000, that multiplied together give a 4-th power (2560000 = 40⁴).

The spelling of 6404000 in words is "six million, four hundred four thousand".