220400442 has 48 divisors (see below), whose sum is σ = 488484360. Its totient is φ = 71798400.

The previous prime is 220400431. The next prime is 220400471. The reversal of 220400442 is 244004022.

220400442 is a `hidden beast` number, since 220 + 4 + 0 + 0 + 442 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9308601 + 211091841 = 3051^2 + 14529^2 .

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 23 ways as a sum of consecutive naturals, for example, 198184 + ... + 199292.

Almost surely, 2^220400442 is an apocalyptic number.

220400442 is an abundant number, since it is smaller than the sum of its proper divisors (268083918).

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

220400442 is a wasteful number, since it uses less digits than its factorization.

220400442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1356 counting only the distinct ones).

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

The square root of 220400442 is about 14845.8897341992. The cubic root of 220400442 is about 604.0471232769.

Adding to 220400442 its reverse (244004022), we get a palindrome (464404464).

The spelling of 220400442 in words is "two hundred twenty million, four hundred thousand, four hundred forty-two".