224354440 has 128 divisors (see below), whose sum is σ = 572313600. Its totient is φ = 78704640.

The previous prime is 224354437. The next prime is 224354461. The reversal of 224354440 is 44453422.

It is a junction number, because it is equal to n+sod(n) for n = 224354399 and 224354408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611137 + ... + 611503.

It is an arithmetic number, because the mean of its divisors is an integer number (4471200).

Almost surely, 2^224354440 is an apocalyptic number.

224354440 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 224354440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286156800).

224354440 is an abundant number, since it is smaller than the sum of its proper divisors (347959160).

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

224354440 is a wasteful number, since it uses less digits than its factorization.

224354440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 224354440 is about 14978.4658760502. The cubic root of 224354440 is about 607.6379495583.

The spelling of 224354440 in words is "two hundred twenty-four million, three hundred fifty-four thousand, four hundred forty".