6429000 has 64 divisors (see below), whose sum is σ = 20067840. Its totient is φ = 1713600.

The previous prime is 6428987. The next prime is 6429019. The reversal of 6429000 is 9246.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1929 + ... + 4071.

It is an arithmetic number, because the mean of its divisors is an integer number (313560).

Almost surely, 2^6429000 is an apocalyptic number.

6429000 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 6429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10033920).

6429000 is an abundant number, since it is smaller than the sum of its proper divisors (13638840).

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

6429000 is a wasteful number, since it uses less digits than its factorization.

6429000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 6429000 is about 2535.5472782025. The cubic root of 6429000 is about 185.9435601678.

The spelling of 6429000 in words is "six million, four hundred twenty-nine thousand".