220406400 has 192 divisors, whose sum is σ = 806942400. Its totient is φ = 58752000.

The previous prime is 220406399. The next prime is 220406423. The reversal of 220406400 is 4604022.

220406400 is a `hidden beast` number, since 2 + 20 + 4 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85125 + ... + 87675.

It is an arithmetic number, because the mean of its divisors is an integer number (4202825).

Almost surely, 2^220406400 is an apocalyptic number.

220406400 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 220406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403471200).

220406400 is an abundant number, since it is smaller than the sum of its proper divisors (586536000).

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

220406400 is a wasteful number, since it uses less digits than its factorization.

220406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220406400 is about 14846.0903944439. The cubic root of 220406400 is about 604.0525662187.

The spelling of 220406400 in words is "two hundred twenty million, four hundred six thousand, four hundred".