429344000 has 72 divisors (see below), whose sum is σ = 1069629288. Its totient is φ = 171724800.

The previous prime is 429343991. The next prime is 429344009. The reversal of 429344000 is 443924.

It is an interprime number because it is at equal distance from previous prime (429343991) and next prime (429344009).

It can be written as a sum of positive squares in 4 ways, for example, as 31899904 + 397444096 = 5648^2 + 19936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429344009) 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, 25292 + ... + 38708.

Almost surely, 2^429344000 is an apocalyptic number.

429344000 is a gapful number since it is divisible by the number (40) 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 429344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534814644).

429344000 is an abundant number, since it is smaller than the sum of its proper divisors (640285288).

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

429344000 is an equidigital number, since it uses as much as digits as its factorization.

429344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13448 (or 13424 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 429344000 is about 20720.6177514089. The cubic root of 429344000 is about 754.4002078158.

Adding to 429344000 its reverse (443924), we get a palindrome (429787924).

The spelling of 429344000 in words is "four hundred twenty-nine million, three hundred forty-four thousand".