224999400 has 192 divisors, whose sum is σ = 736113600. Its totient is φ = 56770560.

The previous prime is 224999399. The next prime is 224999441. The reversal of 224999400 is 4999422.

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, 1165704 + ... + 1165896.

It is an arithmetic number, because the mean of its divisors is an integer number (3833925).

Almost surely, 2^224999400 is an apocalyptic number.

224999400 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 224999400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368056800).

224999400 is an abundant number, since it is smaller than the sum of its proper divisors (511114200).

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

224999400 is a wasteful number, since it uses less digits than its factorization.

224999400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 224999400 is about 14999.9799999867. The cubic root of 224999400 is about 608.2196589167.

The spelling of 224999400 in words is "two hundred twenty-four million, nine hundred ninety-nine thousand, four hundred".