6411900 has 144 divisors (see below), whose sum is σ = 21248640. Its totient is φ = 1478400.

The previous prime is 6411883. The next prime is 6411901. The reversal of 6411900 is 91146.

It is a super-2 number, since 2×6411900² = 82224923220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6411901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95667 + ... + 95733.

It is an arithmetic number, because the mean of its divisors is an integer number (147560).

Almost surely, 2^6411900 is an apocalyptic number.

6411900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6411900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10624320).

6411900 is an abundant number, since it is smaller than the sum of its proper divisors (14836740).

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

6411900 is a wasteful number, since it uses less digits than its factorization.

6411900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 6411900 is about 2532.1729798732. The cubic root of 6411900 is about 185.7785548201.

The spelling of 6411900 in words is "six million, four hundred eleven thousand, nine hundred".