220404400 has 60 divisors (see below), whose sum is σ = 552567312. Its totient is φ = 84325120.

The previous prime is 220404347. The next prime is 220404409. The reversal of 220404400 is 4404022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (220404409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2779 + ... + 21178.

Almost surely, 2^220404400 is an apocalyptic number.

220404400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220404400 is an abundant number, since it is smaller than the sum of its proper divisors (332162912).

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

220404400 is a wasteful number, since it uses less digits than its factorization.

220404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23998 (or 23987 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 220404400 is about 14846.0230364903. The cubic root of 220404400 is about 604.0507391260.

Adding to 220404400 its reverse (4404022), we get a palindrome (224808422).

The spelling of 220404400 in words is "two hundred twenty million, four hundred four thousand, four hundred".