429344344 has 64 divisors (see below), whose sum is σ = 950019840. Its totient is φ = 179333760.

The previous prime is 429344341. The next prime is 429344371. The reversal of 429344344 is 443443924.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429344341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300159 + ... + 301585.

It is an arithmetic number, because the mean of its divisors is an integer number (14844060).

Almost surely, 2^429344344 is an apocalyptic number.

429344344 is a gapful number since it is divisible by the number (44) 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 429344344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475009920).

429344344 is an abundant number, since it is smaller than the sum of its proper divisors (520675496).

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

429344344 is a wasteful number, since it uses less digits than its factorization.

429344344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1716 counting only the distinct ones).

The product of its digits is 165888, while the sum is 37.

The square root of 429344344 is about 20720.6260523180. The cubic root of 429344344 is about 754.4004092965.

It can be divided in two parts, 42934 and 4344, that added together give a triangular number (47278 = T₃₀₇).

The spelling of 429344344 in words is "four hundred twenty-nine million, three hundred forty-four thousand, three hundred forty-four".