224794440 has 224 divisors, whose sum is σ = 818044920. Its totient is φ = 55240704.

The previous prime is 224794429. The next prime is 224794463. The reversal of 224794440 is 44497422.

It can be written as a sum of positive squares in 4 ways, for example, as 152917956 + 71876484 = 12366^2 + 8478^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224794395 and 224794404.

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 55 ways as a sum of consecutive naturals, for example, 378784 + ... + 379376.

Almost surely, 2^224794440 is an apocalyptic number.

224794440 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 224794440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409022460).

224794440 is an abundant number, since it is smaller than the sum of its proper divisors (593250480).

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

224794440 is a wasteful number, since it uses less digits than its factorization.

224794440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 224794440 is about 14993.1464342879. The cubic root of 224794440 is about 608.0349197972.

The spelling of 224794440 in words is "two hundred twenty-four million, seven hundred ninety-four thousand, four hundred forty".