429945120 has 144 divisors (see below), whose sum is σ = 1600627392. Its totient is φ = 104225280.

The previous prime is 429945119. The next prime is 429945127. The reversal of 429945120 is 21549924.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (429945127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2269 + ... + 29411.

It is an arithmetic number, because the mean of its divisors is an integer number (11115468).

Almost surely, 2^429945120 is an apocalyptic number.

429945120 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 429945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800313696).

429945120 is an abundant number, since it is smaller than the sum of its proper divisors (1170682272).

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

429945120 is a wasteful number, since it uses less digits than its factorization.

429945120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27175 (or 27164 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 429945120 is about 20735.1180367993. The cubic root of 429945120 is about 754.7521195520.

It can be divided in two parts, 429 and 945120, that added together give a palindrome (945549).

The spelling of 429945120 in words is "four hundred twenty-nine million, nine hundred forty-five thousand, one hundred twenty".