224404000400 has 120 divisors (see below), whose sum is σ = 551827418880. Its totient is φ = 87656186880.

The previous prime is 224404000361. The next prime is 224404000451. The reversal of 224404000400 is 4000404422.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8578541 + ... + 8604659.

It is an arithmetic number, because the mean of its divisors is an integer number (4598561824).

Almost surely, 2^224404000400 is an apocalyptic number.

224404000400 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 224404000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275913709440).

224404000400 is an abundant number, since it is smaller than the sum of its proper divisors (327423418480).

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

224404000400 is a wasteful number, since it uses less digits than its factorization.

224404000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26641 (or 26630 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 224404000400 its reverse (4000404422), we get a palindrome (228404404822).

The spelling of 224404000400 in words is "two hundred twenty-four billion, four hundred four million, four hundred", and thus it is an aban number.