429200 has 60 divisors (see below), whose sum is σ = 1095540. Its totient is φ = 161280.

The previous prime is 429197. The next prime is 429211. The reversal of 429200 is 2924.

It can be written as a sum of positive squares in 6 ways, for example, as 4096 + 425104 = 64^2 + 652^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11582 + ... + 11618.

It is an arithmetic number, because the mean of its divisors is an integer number (18259).

2⁴²⁹²⁰⁰ is an apocalyptic number.

429200 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 429200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547770).

429200 is an abundant number, since it is smaller than the sum of its proper divisors (666340).

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

429200 is a wasteful number, since it uses less digits than its factorization.

429200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 429200 is about 655.1335741664. The cubic root of 429200 is about 75.4315857600.

The spelling of 429200 in words is "four hundred twenty-nine thousand, two hundred".