220550400 has 324 divisors, whose sum is σ = 902810272. Its totient is φ = 50319360.

The previous prime is 220550371. The next prime is 220550417. The reversal of 220550400 is 4055022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402927 + ... + 403473.

Almost surely, 2^220550400 is an apocalyptic number.

220550400 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 220550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451405136).

220550400 is an abundant number, since it is smaller than the sum of its proper divisors (682259872).

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

220550400 is a wasteful number, since it uses less digits than its factorization.

220550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 220550400 is about 14850.9393642288. The cubic root of 220550400 is about 604.1840878581.

The spelling of 220550400 in words is "two hundred twenty million, five hundred fifty thousand, four hundred".