220838400 has 360 divisors, whose sum is σ = 831134304. Its totient is φ = 58060800.

The previous prime is 220838399. The next prime is 220838447. The reversal of 220838400 is 4838022.

220838400 is a `hidden beast` number, since 220 + 8 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 35 ways as a sum of consecutive naturals, for example, 3110365 + ... + 3110435.

Almost surely, 2^220838400 is an apocalyptic number.

220838400 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 220838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415567152).

220838400 is an abundant number, since it is smaller than the sum of its proper divisors (610295904).

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

220838400 is an frugal number, since it uses more digits than its factorization.

220838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 220838400 is about 14860.6325571962. The cubic root of 220838400 is about 604.4469594923.

The spelling of 220838400 in words is "two hundred twenty million, eight hundred thirty-eight thousand, four hundred".