429884928 has 240 divisors, whose sum is σ = 1404128880. Its totient is φ = 129761280.

The previous prime is 429884921. The next prime is 429884947. The reversal of 429884928 is 829488924.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429884921) 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, 1672576 + ... + 1672832.

It is an arithmetic number, because the mean of its divisors is an integer number (5850537).

Almost surely, 2^429884928 is an apocalyptic number.

429884928 is a gapful number since it is divisible by the number (48) 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 429884928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702064440).

429884928 is an abundant number, since it is smaller than the sum of its proper divisors (974243952).

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

429884928 is a wasteful number, since it uses less digits than its factorization.

429884928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 273 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 429884928 is about 20733.6665353719. Note that the first 3 decimals coincide. The cubic root of 429884928 is about 754.7168963280.

The spelling of 429884928 in words is "four hundred twenty-nine million, eight hundred eighty-four thousand, nine hundred twenty-eight".