6445400 has 96 divisors (see below), whose sum is σ = 16821840. Its totient is φ = 2280960.

The previous prime is 6445393. The next prime is 6445403. The reversal of 6445400 is 45446.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6445403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96167 + ... + 96233.

Almost surely, 2^6445400 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 6445400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8410920).

6445400 is an abundant number, since it is smaller than the sum of its proper divisors (10376440).

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

6445400 is a wasteful number, since it uses less digits than its factorization.

6445400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 6445400 is about 2538.7792341990. The cubic root of 6445400 is about 186.1015362681.

The spelling of 6445400 in words is "six million, four hundred forty-five thousand, four hundred".