429328080 has 160 divisors (see below), whose sum is σ = 1510617600. Its totient is φ = 112025088.

The previous prime is 429328069. The next prime is 429328091. The reversal of 429328080 is 80823924.

It is an interprime number because it is at equal distance from previous prime (429328069) and next prime (429328091).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99406 + ... + 103634.

It is an arithmetic number, because the mean of its divisors is an integer number (9441360).

Almost surely, 2^429328080 is an apocalyptic number.

429328080 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 429328080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755308800).

429328080 is an abundant number, since it is smaller than the sum of its proper divisors (1081289520).

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

429328080 is a wasteful number, since it uses less digits than its factorization.

429328080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 429328080 is about 20720.2335894169. The cubic root of 429328080 is about 754.3908833582.

It can be divided in two parts, 429 and 328080, that added together give a cube (328509 = 69³).

The spelling of 429328080 in words is "four hundred twenty-nine million, three hundred twenty-eight thousand, eighty".