6402000 has 160 divisors (see below), whose sum is σ = 22748544. Its totient is φ = 1536000.

The previous prime is 6401987. The next prime is 6402001. The reversal of 6402000 is 2046.

6402000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6402001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65952 + ... + 66048.

Almost surely, 2^6402000 is an apocalyptic number.

6402000 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 6402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11374272).

6402000 is an abundant number, since it is smaller than the sum of its proper divisors (16346544).

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

6402000 is a wasteful number, since it uses less digits than its factorization.

6402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 6402000 is about 2530.2173819654. The cubic root of 6402000 is about 185.6828912838.

Adding to 6402000 its reverse (2046), we get a palindrome (6404046).

The spelling of 6402000 in words is "six million, four hundred two thousand".