220412400 has 240 divisors, whose sum is σ = 774950400. Its totient is φ = 53222400.

The previous prime is 220412389. The next prime is 220412411. The reversal of 220412400 is 4214022.

220412400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220412389) and next prime (220412411).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220412400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107501 + ... + 1107699.

It is an arithmetic number, because the mean of its divisors is an integer number (3228960).

Almost surely, 2^220412400 is an apocalyptic number.

220412400 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 220412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387475200).

220412400 is an abundant number, since it is smaller than the sum of its proper divisors (554538000).

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

220412400 is a wasteful number, since it uses less digits than its factorization.

220412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 220412400 is about 14846.2924664712. The cubic root of 220412400 is about 604.0580474305.

Adding to 220412400 its reverse (4214022), we get a palindrome (224626422).

The spelling of 220412400 in words is "two hundred twenty million, four hundred twelve thousand, four hundred".