220712400 has 180 divisors, whose sum is σ = 787108972. Its totient is φ = 57231360.

The previous prime is 220712399. The next prime is 220712407. The reversal of 220712400 is 4217022.

It can be written as a sum of positive squares in 6 ways, for example, as 11664 + 220700736 = 108^2 + 14856^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220712407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132372 + ... + 134028.

Almost surely, 2^220712400 is an apocalyptic number.

220712400 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 220712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393554486).

220712400 is an abundant number, since it is smaller than the sum of its proper divisors (566396572).

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

220712400 is a wasteful number, since it uses less digits than its factorization.

220712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 220712400 is about 14856.3925634725. The cubic root of 220712400 is about 604.3319812911.

Adding to 220712400 its reverse (4217022), we get a palindrome (224929422).

The spelling of 220712400 in words is "two hundred twenty million, seven hundred twelve thousand, four hundred".