6401200 has 60 divisors (see below), whose sum is σ = 16575328. Its totient is φ = 2361600.

The previous prime is 6401191. The next prime is 6401203. The reversal of 6401200 is 21046.

It is a super-2 number, since 2×6401200² = 81950722880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (6401203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4585 + ... + 5815.

Almost surely, 2^6401200 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 6401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8287664).

6401200 is an abundant number, since it is smaller than the sum of its proper divisors (10174128).

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

6401200 is a wasteful number, since it uses less digits than its factorization.

6401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 6401200 is about 2530.0592878429. The cubic root of 6401200 is about 185.6751565914.

Adding to 6401200 its reverse (21046), we get a palindrome (6422246).

The spelling of 6401200 in words is "six million, four hundred one thousand, two hundred".