4206420 has 36 divisors (see below), whose sum is σ = 12760020. Its totient is φ = 1121664.

The previous prime is 4206413. The next prime is 4206427. The reversal of 4206420 is 246024.

4206420 is a `hidden beast` number, since 4 + 20 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4206413) and next prime (4206427).

It can be written as a sum of positive squares in 2 ways, for example, as 944784 + 3261636 = 972^2 + 1806^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4206393 and 4206402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4206427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11505 + ... + 11864.

It is an arithmetic number, because the mean of its divisors is an integer number (354445).

Almost surely, 2^4206420 is an apocalyptic number.

It is an amenable number.

4206420 is an abundant number, since it is smaller than the sum of its proper divisors (8553600).

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

4206420 is a wasteful number, since it uses less digits than its factorization.

4206420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23384 (or 23379 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4206420 is about 2050.9558747082. The cubic root of 4206420 is about 161.4250307821.

The spelling of 4206420 in words is "four million, two hundred six thousand, four hundred twenty".