429789120 has 112 divisors (see below), whose sum is σ = 1436461440. Its totient is φ = 108573696.

The previous prime is 429789091. The next prime is 429789127. The reversal of 429789120 is 21987924.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429789127) 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, 6459 + ... + 30021.

Almost surely, 2^429789120 is an apocalyptic number.

429789120 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 429789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718230720).

429789120 is an abundant number, since it is smaller than the sum of its proper divisors (1006672320).

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

429789120 is a wasteful number, since it uses less digits than its factorization.

429789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23602 (or 23592 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 429789120 is about 20731.3559614416. The cubic root of 429789120 is about 754.6608245097.

The spelling of 429789120 in words is "four hundred twenty-nine million, seven hundred eighty-nine thousand, one hundred twenty".