220442400 has 216 divisors, whose sum is σ = 823517604. Its totient is φ = 55296000.

The previous prime is 220442399. The next prime is 220442437. The reversal of 220442400 is 4244022.

220442400 is a `hidden beast` number, since 220 + 4 + 42 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 66781584 + 153660816 = 8172^2 + 12396^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121500 + ... + 123300.

Almost surely, 2^220442400 is an apocalyptic number.

220442400 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 220442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411758802).

220442400 is an abundant number, since it is smaller than the sum of its proper divisors (603075204).

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

220442400 is a wasteful number, since it uses less digits than its factorization.

220442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 220442400 is about 14847.3027853547. The cubic root of 220442400 is about 604.0854519978.

Adding to 220442400 its reverse (4244022), we get a palindrome (224686422).

The spelling of 220442400 in words is "two hundred twenty million, four hundred forty-two thousand, four hundred".