6350400 has 315 divisors, whose sum is σ = 27153489. Its totient is φ = 1451520.

The previous prime is 6350353. The next prime is 6350411. The reversal of 6350400 is 40536.

It is a happy number.

The square root of 6350400 is 2520.

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., 2286144 + 4064256 = 1512^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 907197 + ... + 907203.

Almost surely, 2^6350400 is an apocalyptic number.

6350400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6350400 is the 2520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6350400

6350400 is an abundant number, since it is smaller than the sum of its proper divisors (20803089).

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

6350400 is a wasteful number, since it uses less digits than its factorization.

6350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The cubic root of 6350400 is about 185.1826780895.

Adding to 6350400 its reverse (40536), we get a palindrome (6390936).

The spelling of 6350400 in words is "six million, three hundred fifty thousand, four hundred".