429329680 has 80 divisors (see below), whose sum is σ = 1095398640. Its totient is φ = 155510784.

The previous prime is 429329657. The next prime is 429329683. The reversal of 429329680 is 86923924.

It can be written as a sum of positive squares in 8 ways, for example, as 4804864 + 424524816 = 2192^2 + 20604^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (429329683) 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, 51226 + ... + 59014.

It is an arithmetic number, because the mean of its divisors is an integer number (13692483).

Almost surely, 2^429329680 is an apocalyptic number.

429329680 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 429329680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547699320).

429329680 is an abundant number, since it is smaller than the sum of its proper divisors (666068960).

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

429329680 is a wasteful number, since it uses less digits than its factorization.

429329680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7868 (or 7862 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 429329680 is about 20720.2721989843. The cubic root of 429329680 is about 754.3918205000.

The spelling of 429329680 in words is "four hundred twenty-nine million, three hundred twenty-nine thousand, six hundred eighty".