429248 has 28 divisors (see below), whose sum is σ = 899160. Its totient is φ = 202752.

The previous prime is 429241. The next prime is 429259. The reversal of 429248 is 842924.

429248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

Its product of digits (4608) is a multiple of the sum of its prime factors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 429248.

It is not an unprimeable number, because it can be changed into a prime (429241) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1040 + ... + 1392.

2⁴²⁹²⁴⁸ 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 429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449580).

429248 is an abundant number, since it is smaller than the sum of its proper divisors (469912).

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

429248 is a wasteful number, since it uses less digits than its factorization.

429248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 429248 is about 655.1702068928. The cubic root of 429248 is about 75.4343976435.

The spelling of 429248 in words is "four hundred twenty-nine thousand, two hundred forty-eight".