429285120 has 144 divisors (see below), whose sum is σ = 1495815552. Its totient is φ = 104058880.

The previous prime is 429285097. The next prime is 429285127. The reversal of 429285120 is 21582924.

It is a super-3 number, since 3×429285120³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429285127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37159 + ... + 47321.

It is an arithmetic number, because the mean of its divisors is an integer number (10387608).

Almost surely, 2^429285120 is an apocalyptic number.

429285120 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 429285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747907776).

429285120 is an abundant number, since it is smaller than the sum of its proper divisors (1066530432).

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

429285120 is a wasteful number, since it uses less digits than its factorization.

429285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10198 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 429285120 is about 20719.1968956328. The cubic root of 429285120 is about 754.3657202293.

The spelling of 429285120 in words is "four hundred twenty-nine million, two hundred eighty-five thousand, one hundred twenty".