220946000400 has 720 divisors, whose sum is σ = 831638021760. Its totient is φ = 56260915200.

The previous prime is 220946000381. The next prime is 220946000411. The reversal of 220946000400 is 4000649022.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 290336020 + ... + 290336780.

It is an arithmetic number, because the mean of its divisors is an integer number (1155052808).

Almost surely, 2^220946000400 is an apocalyptic number.

220946000400 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 220946000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415819010880).

220946000400 is an abundant number, since it is smaller than the sum of its proper divisors (610692021360).

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

220946000400 is a wasteful number, since it uses less digits than its factorization.

220946000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 220946000400 its reverse (4000649022), we get a palindrome (224946649422).

The spelling of 220946000400 in words is "two hundred twenty billion, nine hundred forty-six million, four hundred", and thus it is an aban number.