429224000 has 56 divisors (see below), whose sum is σ = 1062993048. Its totient is φ = 171686400.

The previous prime is 429223987. The next prime is 429224009. The reversal of 429224000 is 422924.

It can be written as a sum of positive squares in 4 ways, for example, as 91546624 + 337677376 = 9568^2 + 18376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429224009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18827 + ... + 34826.

Almost surely, 2^429224000 is an apocalyptic number.

429224000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429224000 is an abundant number, since it is smaller than the sum of its proper divisors (633769048).

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

429224000 is an equidigital number, since it uses as much as digits as its factorization.

429224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53680 (or 53660 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 429224000 is about 20717.7218824851. The cubic root of 429224000 is about 754.3299172792.

Adding to 429224000 its reverse (422924), we get a palindrome (429646924).

The spelling of 429224000 in words is "four hundred twenty-nine million, two hundred twenty-four thousand".