220404456 has 128 divisors (see below), whose sum is σ = 653702400. Its totient is φ = 68567040.

The previous prime is 220404433. The next prime is 220404493. The reversal of 220404456 is 654404022.

220404456 is a `hidden beast` number, since 2 + 204 + 0 + 4 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 708541 + ... + 708851.

It is an arithmetic number, because the mean of its divisors is an integer number (5107050).

Almost surely, 2^220404456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220404456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326851200).

220404456 is an abundant number, since it is smaller than the sum of its proper divisors (433297944).

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

220404456 is a wasteful number, since it uses less digits than its factorization.

220404456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 220404456 is about 14846.0249225171. The cubic root of 220404456 is about 604.0507902847.

Adding to 220404456 its reverse (654404022), we get a palindrome (874808478).

The spelling of 220404456 in words is "two hundred twenty million, four hundred four thousand, four hundred fifty-six".