429940225 has 81 divisors (see below), whose sum is σ = 657177339. Its totient is φ = 278678400.

The previous prime is 429940213. The next prime is 429940237. The reversal of 429940225 is 522049924.

The square root of 429940225 is 20735.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (429940213) and next prime (429940237).

It can be written as a sum of positive squares in 13 ways, for example, as 397723249 + 32216976 = 19943^2 + 5676^2 .

It is not a de Polignac number, because 429940225 - 2⁵ = 429940193 is a prime.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 14825511 + ... + 14825539.

Almost surely, 2^429940225 is an apocalyptic number.

429940225 is the 20735-th square number.

429940225 is the 10368-th centered octagonal number.

It is an amenable number.

429940225 is a deficient number, since it is larger than the sum of its proper divisors (227237114).

429940225 is a wasteful number, since it uses less digits than its factorization.

429940225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The cubic root of 429940225 is about 754.7492552131.

The spelling of 429940225 in words is "four hundred twenty-nine million, nine hundred forty thousand, two hundred twenty-five".