6404580 has 288 divisors, whose sum is σ = 26417664. Its totient is φ = 1216512.

The previous prime is 6404551. The next prime is 6404581. The reversal of 6404580 is 854046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6404581) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278449 + ... + 278471.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

Almost surely, 2^6404580 is an apocalyptic number.

6404580 is a gapful number since it is divisible by the number (60) 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 6404580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

6404580 is an abundant number, since it is smaller than the sum of its proper divisors (20013084).

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

6404580 is a wasteful number, since it uses less digits than its factorization.

6404580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6404580 is about 2530.7271682266. The cubic root of 6404580 is about 185.7078312775.

The spelling of 6404580 in words is "six million, four hundred four thousand, five hundred eighty".