429963768 has 128 divisors (see below), whose sum is σ = 1354080000. Its totient is φ = 125318016.

The previous prime is 429963763. The next prime is 429963803. The reversal of 429963768 is 867369924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429963763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49323 + ... + 57381.

It is an arithmetic number, because the mean of its divisors is an integer number (10578750).

Almost surely, 2^429963768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429963768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677040000).

429963768 is an abundant number, since it is smaller than the sum of its proper divisors (924116232).

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

429963768 is a wasteful number, since it uses less digits than its factorization.

429963768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106 (or 8096 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 429963768 is about 20735.5677038272. The cubic root of 429963768 is about 754.7630313432.

It can be divided in two parts, 42996 and 3768, that added together give a palindrome (46764).

The spelling of 429963768 in words is "four hundred twenty-nine million, nine hundred sixty-three thousand, seven hundred sixty-eight".