429152256 has 240 divisors, whose sum is σ = 1387386000. Its totient is φ = 131383296.

The previous prime is 429152209. The next prime is 429152261. The reversal of 429152256 is 652251924.

429152256 is a `hidden beast` number, since 42 + 91 + 522 + 5 + 6 = 666.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 429152256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2156445 + ... + 2156643.

It is an arithmetic number, because the mean of its divisors is an integer number (5780775).

Almost surely, 2^429152256 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 429152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693693000).

429152256 is an abundant number, since it is smaller than the sum of its proper divisors (958233744).

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

429152256 is a wasteful number, since it uses less digits than its factorization.

429152256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 217 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 429152256 is about 20715.9903456243. The cubic root of 429152256 is about 754.2878866525.

The spelling of 429152256 in words is "four hundred twenty-nine million, one hundred fifty-two thousand, two hundred fifty-six".