429960960 has 720 divisors, whose sum is σ = 1869769440. Its totient is φ = 92897280.

The previous prime is 429960943. The next prime is 429960967. The reversal of 429960960 is 69069924.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429960967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14826226 + ... + 14826254.

It is an arithmetic number, because the mean of its divisors is an integer number (2596902).

Almost surely, 2^429960960 is an apocalyptic number.

429960960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 20735×20736.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934884720).

429960960 is an abundant number, since it is smaller than the sum of its proper divisors (1439808480).

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

429960960 is a wasteful number, since it uses less digits than its factorization.

429960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 429960960 is about 20735.4999939717. The cubic root of 429960960 is about 754.7613882751.

The spelling of 429960960 in words is "four hundred twenty-nine million, nine hundred sixty thousand, nine hundred sixty".