4205720 has 16 divisors (see below), whose sum is σ = 9462960. Its totient is φ = 1682272.

The previous prime is 4205717. The next prime is 4205731. The reversal of 4205720 is 275024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4205692 and 4205701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52532 + ... + 52611.

It is an arithmetic number, because the mean of its divisors is an integer number (591435).

Almost surely, 2^4205720 is an apocalyptic number.

4205720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4205720 is an abundant number, since it is smaller than the sum of its proper divisors (5257240).

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

4205720 is a wasteful number, since it uses less digits than its factorization.

4205720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105154 (or 105150 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 4205720 is about 2050.7852154724. The cubic root of 4205720 is about 161.4160759154.

It can be divided in two parts, 4205 and 720, that multiplied together give a square (3027600 = 1740²).

The spelling of 4205720 in words is "four million, two hundred five thousand, seven hundred twenty".