429252768 has 72 divisors (see below), whose sum is σ = 1395078048. Its totient is φ = 122643072.

The previous prime is 429252767. The next prime is 429252781. The reversal of 429252768 is 867252924.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (429252763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104446 + ... + 108477.

It is an arithmetic number, because the mean of its divisors is an integer number (19376084).

Almost surely, 2^429252768 is an apocalyptic number.

429252768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

429252768 is an abundant number, since it is smaller than the sum of its proper divisors (965825280).

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

429252768 is a wasteful number, since it uses less digits than its factorization.

429252768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212946 (or 212935 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 429252768 is about 20718.4161556814. The cubic root of 429252768 is about 754.3467694576.

The spelling of 429252768 in words is "four hundred twenty-nine million, two hundred fifty-two thousand, seven hundred sixty-eight".