429003825 has 24 divisors (see below), whose sum is σ = 710707488. Its totient is φ = 228343680.

The previous prime is 429003821. The next prime is 429003829. The reversal of 429003825 is 528300924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (429003821) and next prime (429003829).

It is not a de Polignac number, because 429003825 - 2² = 429003821 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (429003821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33757 + ... + 44693.

It is an arithmetic number, because the mean of its divisors is an integer number (29612812).

Almost surely, 2^429003825 is an apocalyptic number.

It is an amenable number.

429003825 is a deficient number, since it is larger than the sum of its proper divisors (281703663).

429003825 is a wasteful number, since it uses less digits than its factorization.

429003825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11473 (or 11468 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 429003825 is about 20712.4075133723. The cubic root of 429003825 is about 754.2009147103.

The spelling of 429003825 in words is "four hundred twenty-nine million, three thousand, eight hundred twenty-five".