4204800 has 162 divisors, whose sum is σ = 15239042. Its totient is φ = 1105920.

The previous prime is 4204799. The next prime is 4204807. The reversal of 4204800 is 84024.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 3873024 = 576^2 + 1968^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4204807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57564 + ... + 57636.

Almost surely, 2^4204800 is an apocalyptic number.

4204800 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 4204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7619521).

4204800 is an abundant number, since it is smaller than the sum of its proper divisors (11034242).

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

4204800 is a wasteful number, since it uses less digits than its factorization.

4204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4204800 is about 2050.5608988762. The cubic root of 4204800 is about 161.4043051509.

Adding to 4204800 its reverse (84024), we get a palindrome (4288824).

The spelling of 4204800 in words is "four million, two hundred four thousand, eight hundred".