4204640 has 48 divisors (see below), whose sum is σ = 10841040. Its totient is φ = 1528320.

The previous prime is 4204639. The next prime is 4204657. The reversal of 4204640 is 464024.

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

It is a d-powerful number, because it can be written as 4⁴ + 2¹¹ + 0 + 4⁴ + 6⁵ + 4¹¹ + 0 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 566 + ... + 2954.

It is an arithmetic number, because the mean of its divisors is an integer number (225855).

Almost surely, 2^4204640 is an apocalyptic number.

4204640 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 4204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420520).

4204640 is an abundant number, since it is smaller than the sum of its proper divisors (6636400).

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

4204640 is a wasteful number, since it uses less digits than its factorization.

4204640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4204640 is about 2050.5218847893. The cubic root of 4204640 is about 161.4022578861.

Adding to 4204640 its reverse (464024), we get a palindrome (4668664).

It can be divided in two parts, 4 and 204640, that multiplied together give a triangular number (818560 = T₁₂₇₉).

The spelling of 4204640 in words is "four million, two hundred four thousand, six hundred forty".