220404300 has 72 divisors (see below), whose sum is σ = 640292352. Its totient is φ = 58536000.

The previous prime is 220404299. The next prime is 220404307. The reversal of 220404300 is 3404022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220404300.

It is not an unprimeable number, because it can be changed into a prime (220404307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79945 + ... + 82655.

Almost surely, 2^220404300 is an apocalyptic number.

220404300 is a gapful number since it is divisible by the number (20) 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 220404300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320146176).

220404300 is an abundant number, since it is smaller than the sum of its proper divisors (419888052).

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

220404300 is a wasteful number, since it uses less digits than its factorization.

220404300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 220404300 is about 14846.0196685846. The cubic root of 220404300 is about 604.0506477711.

Adding to 220404300 its reverse (3404022), we get a palindrome (223808322).

The spelling of 220404300 in words is "two hundred twenty million, four hundred four thousand, three hundred".