220088400 has 360 divisors, whose sum is σ = 867667680. Its totient is φ = 47416320.

The previous prime is 220088399. The next prime is 220088417. The reversal of 220088400 is 4880022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1117102 + ... + 1117298.

It is an arithmetic number, because the mean of its divisors is an integer number (2410188).

Almost surely, 2^220088400 is an apocalyptic number.

220088400 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 220088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433833840).

220088400 is an abundant number, since it is smaller than the sum of its proper divisors (647579280).

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

220088400 is a wasteful number, since it uses less digits than its factorization.

220088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 220088400 is about 14835.3766382927. The cubic root of 220088400 is about 603.7619195294.

The spelling of 220088400 in words is "two hundred twenty million, eighty-eight thousand, four hundred".