6405200 has 60 divisors (see below), whose sum is σ = 15683520. Its totient is φ = 2513280.

The previous prime is 6405187. The next prime is 6405221. The reversal of 6405200 is 25046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26681 + ... + 26919.

It is an arithmetic number, because the mean of its divisors is an integer number (261392).

Almost surely, 2^6405200 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 6405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841760).

6405200 is an abundant number, since it is smaller than the sum of its proper divisors (9278320).

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

6405200 is a wasteful number, since it uses less digits than its factorization.

6405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 6405200 is about 2530.8496596993. The cubic root of 6405200 is about 185.7138236111.

The spelling of 6405200 in words is "six million, four hundred five thousand, two hundred".