429440 has 64 divisors (see below), whose sum is σ = 1138320. Its totient is φ = 153600.

The previous prime is 429431. The next prime is 429449. The reversal of 429440 is 44924.

It is a happy number.

429440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (429431) and next prime (429449).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429449) by changing a digit.

429440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 7010 + ... + 7070.

2⁴²⁹⁴⁴⁰ is an apocalyptic number.

429440 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 429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569160).

429440 is an abundant number, since it is smaller than the sum of its proper divisors (708880).

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

429440 is a wasteful number, since it uses less digits than its factorization.

429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 79 counting only the distinct ones).

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

The square root of 429440 is about 655.3167173207. The cubic root of 429440 is about 75.4456430815.

It can be divided in two parts, 4294 and 40, that added together give a palindrome (4334).

The spelling of 429440 in words is "four hundred twenty-nine thousand, four hundred forty".