224470400 has 192 divisors, whose sum is σ = 692098560. Its totient is φ = 69888000.

The previous prime is 224470399. The next prime is 224470447. The reversal of 224470400 is 4074422.

It is a congruent number.

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, 245945 + ... + 246855.

It is an arithmetic number, because the mean of its divisors is an integer number (3604680).

Almost surely, 2^224470400 is an apocalyptic number.

224470400 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 224470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346049280).

224470400 is an abundant number, since it is smaller than the sum of its proper divisors (467628160).

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

224470400 is a wasteful number, since it uses less digits than its factorization.

224470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 224470400 is about 14982.3362664172. The cubic root of 224470400 is about 607.7426195922.

The spelling of 224470400 in words is "two hundred twenty-four million, four hundred seventy thousand, four hundred".