437428224 has 168 divisors, whose sum is σ = 1341767700. Its totient is φ = 136839168.

The previous prime is 437428223. The next prime is 437428247. The reversal of 437428224 is 422824734.

437428224 is a `hidden beast` number, since 4 + 3 + 7 + 428 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 406425600 + 31002624 = 20160^2 + 5568^2 .

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

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (437428223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1253202 + ... + 1253550.

Almost surely, 2^437428224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 437428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670883850).

437428224 is an abundant number, since it is smaller than the sum of its proper divisors (904339476).

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

437428224 is a wasteful number, since it uses less digits than its factorization.

437428224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 371 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 437428224 is about 20914.7848184006. The cubic root of 437428224 is about 759.1057256108.

The spelling of 437428224 in words is "four hundred thirty-seven million, four hundred twenty-eight thousand, two hundred twenty-four".