6400225 has 24 divisors (see below), whose sum is σ = 8749440. Its totient is φ = 4614720.

The previous prime is 6400201. The next prime is 6400231. The reversal of 6400225 is 5220046.

It is not a de Polignac number, because 6400225 - 2⁵ = 6400193 is a prime.

6400225 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15066 + ... + 15484.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 2^6400225 is an apocalyptic number.

6400225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6400225 is a deficient number, since it is larger than the sum of its proper divisors (2349215).

6400225 is a wasteful number, since it uses less digits than its factorization.

6400225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 6400225 is about 2529.8665972735. The cubic root of 6400225 is about 185.6657290638.

It can be divided in two parts, 6400 and 225, that multiplied together give a square (1440000 = 1200²).

The spelling of 6400225 in words is "six million, four hundred thousand, two hundred twenty-five".