6442900 has 36 divisors (see below), whose sum is σ = 14721280. Its totient is φ = 2440800.

The previous prime is 6442897. The next prime is 6442937. The reversal of 6442900 is 92446.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205 + ... + 3595.

Almost surely, 2^6442900 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 6442900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360640).

6442900 is an abundant number, since it is smaller than the sum of its proper divisors (8278380).

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

6442900 is a wasteful number, since it uses less digits than its factorization.

6442900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 6442900 is about 2538.2868238243. The cubic root of 6442900 is about 186.0774718704.

The spelling of 6442900 in words is "six million, four hundred forty-two thousand, nine hundred".