6390403600 has 135 divisors (see below), whose sum is σ = 17890880301. Its totient is φ = 2187158400.

The previous prime is 6390403597. The next prime is 6390403631. The reversal of 6390403600 is 63040936.

The square root of 6390403600 is 79940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2300545296 + 4089858304 = 47964^2 + 63952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11191315 + ... + 11191885.

Almost surely, 2^6390403600 is an apocalyptic number.

6390403600 is the 79940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6390403600

6390403600 is an abundant number, since it is smaller than the sum of its proper divisors (11500476701).

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

6390403600 is an equidigital number, since it uses as much as digits as its factorization.

6390403600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The cubic root of 6390403600 is about 1855.7070996000.

Multiplying 6390403600 by its product of nonzero digits (11664), we get a square (74537667590400 = 8633520²).

The spelling of 6390403600 in words is "six billion, three hundred ninety million, four hundred three thousand, six hundred".