4204680 has 64 divisors (see below), whose sum is σ = 12968640. Its totient is φ = 1089792.

The previous prime is 4204679. The next prime is 4204687. The reversal of 4204680 is 864024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4204680.

It is not an unprimeable number, because it can be changed into a prime (4204687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3967 + ... + 4913.

It is an arithmetic number, because the mean of its divisors is an integer number (202635).

Almost surely, 2^4204680 is an apocalyptic number.

4204680 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 4204680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484320).

4204680 is an abundant number, since it is smaller than the sum of its proper divisors (8763960).

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

4204680 is a wasteful number, since it uses less digits than its factorization.

4204680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4204680 is about 2050.5316383806. The cubic root of 4204680 is about 161.4027697072.

It can be divided in two parts, 4204 and 680, that added together give a palindrome (4884).

The spelling of 4204680 in words is "four million, two hundred four thousand, six hundred eighty".