4209920 has 144 divisors (see below), whose sum is σ = 12362112. Its totient is φ = 1351680.

The previous prime is 4209913. The next prime is 4209929. The reversal of 4209920 is 299024.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4209920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4209929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183029 + ... + 183051.

It is an arithmetic number, because the mean of its divisors is an integer number (85848).

Almost surely, 2^4209920 is an apocalyptic number.

4209920 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 4209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056).

4209920 is an abundant number, since it is smaller than the sum of its proper divisors (8152192).

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

4209920 is a wasteful number, since it uses less digits than its factorization.

4209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 4209920 is about 2051.8089579686. The cubic root of 4209920 is about 161.4697902195.

The spelling of 4209920 in words is "four million, two hundred nine thousand, nine hundred twenty".