429012 has 36 divisors (see below), whose sum is σ = 1149876. Its totient is φ = 134400.

The previous prime is 429007. The next prime is 429017. The reversal of 429012 is 210924.

It is an interprime number because it is at equal distance from previous prime (429007) and next prime (429017).

It can be written as a sum of positive squares in 2 ways, for example, as 352836 + 76176 = 594^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×429012² = 368102592288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429017) by changing a digit.

429012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262 + ... + 962.

It is an arithmetic number, because the mean of its divisors is an integer number (31941).

2⁴²⁹⁰¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574938).

429012 is an abundant number, since it is smaller than the sum of its proper divisors (720864).

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

429012 is a wasteful number, since it uses less digits than its factorization.

429012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 429012 is about 654.9900762607. The cubic root of 429012 is about 75.4205705307.

Adding to 429012 its reverse (210924), we get a palindrome (639936).

The spelling of 429012 in words is "four hundred twenty-nine thousand, twelve".