220656400 has 60 divisors (see below), whose sum is σ = 534300624. Its totient is φ = 87568000.

The previous prime is 220656391. The next prime is 220656407. The reversal of 220656400 is 4656022.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (220656407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 50295 + ... + 54505.

Almost surely, 2^220656400 is an apocalyptic number.

220656400 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 220656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267150312).

220656400 is an abundant number, since it is smaller than the sum of its proper divisors (313644224).

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

220656400 is a wasteful number, since it uses less digits than its factorization.

220656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 220656400 is about 14854.5077333448. The cubic root of 220656400 is about 604.2808658220.

The spelling of 220656400 in words is "two hundred twenty million, six hundred fifty-six thousand, four hundred".