220430400 has 168 divisors, whose sum is σ = 761573280. Its totient is φ = 55664640.

The previous prime is 220430383. The next prime is 220430401. The reversal of 220430400 is 4034022.

It is a happy number.

It is a super-2 number, since 2×220430400² = 97179122488320000, which contains 22 as substring.

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 220430400.

It is not an unprimeable number, because it can be changed into a prime (220430401) 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, 89992 + ... + 92408.

Almost surely, 2^220430400 is an apocalyptic number.

220430400 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 220430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380786640).

220430400 is an abundant number, since it is smaller than the sum of its proper divisors (541142880).

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

220430400 is a wasteful number, since it uses less digits than its factorization.

220430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2446 counting only the distinct ones).

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

The square root of 220430400 is about 14846.8986660514. The cubic root of 220430400 is about 604.0744904693.

Adding to 220430400 its reverse (4034022), we get a palindrome (224464422).

The spelling of 220430400 in words is "two hundred twenty million, four hundred thirty thousand, four hundred".