4206000 has 80 divisors (see below), whose sum is σ = 13579488. Its totient is φ = 1120000.

The previous prime is 4205989. The next prime is 4206019. The reversal of 4206000 is 6024.

It is a tau number, because it is divible by the number of its divisors (80).

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 unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5650 + ... + 6350.

Almost surely, 2^4206000 is an apocalyptic number.

4206000 is a gapful number since it is divisible by the number (40) 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 4206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789744).

4206000 is an abundant number, since it is smaller than the sum of its proper divisors (9373488).

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

4206000 is a wasteful number, since it uses less digits than its factorization.

4206000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 711 counting only the distinct ones).

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

The square root of 4206000 is about 2050.8534808708. The cubic root of 4206000 is about 161.4196579813.

The spelling of 4206000 in words is "four million, two hundred six thousand".