429143040 has 264 divisors, whose sum is σ = 1520020320. Its totient is φ = 111919104.

The previous prime is 429143003. The next prime is 429143051. The reversal of 429143040 is 40341924.

It is a junction number, because it is equal to n+sod(n) for n = 429142995 and 429143013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3087291 + ... + 3087429.

Almost surely, 2^429143040 is an apocalyptic number.

429143040 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 429143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760010160).

429143040 is an abundant number, since it is smaller than the sum of its proper divisors (1090877280).

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

429143040 is a wasteful number, since it uses less digits than its factorization.

429143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 429143040 is about 20715.7679075626. The cubic root of 429143040 is about 754.2824871960.

Adding to 429143040 its reverse (40341924), we get a palindrome (469484964).

It can be divided in two parts, 42914 and 3040, that added together give a palindrome (45954).

The spelling of 429143040 in words is "four hundred twenty-nine million, one hundred forty-three thousand, forty".