4205630 has 64 divisors (see below), whose sum is σ = 9471168. Its totient is φ = 1320960.

The previous prime is 4205623. The next prime is 4205651. The reversal of 4205630 is 365024.

It is a d-powerful number, because it can be written as 4¹¹ + 2¹³ + 0 + 5⁵ + 6 + 3 + 0 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24224 + ... + 24396.

It is an arithmetic number, because the mean of its divisors is an integer number (147987).

Almost surely, 2^4205630 is an apocalyptic number.

4205630 is an abundant number, since it is smaller than the sum of its proper divisors (5265538).

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

4205630 is a wasteful number, since it uses less digits than its factorization.

4205630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 4205630 is about 2050.7632725403. The cubic root of 4205630 is about 161.4149245033.

Subtracting from 4205630 its reverse (365024), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 4205630 in words is "four million, two hundred five thousand, six hundred thirty".