429525625 has 15 divisors (see below), whose sum is σ = 537383451. Its totient is φ = 343206000.

The previous prime is 429525599. The next prime is 429525643. The reversal of 429525625 is 526525924.

The square root of 429525625 is 20725.

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

It can be written as a sum of positive squares in 7 ways, for example, as 301473769 + 128051856 = 17363^2 + 11316^2 .

It is not a de Polignac number, because 429525625 - 2⁹ = 429525113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 517711 + ... + 518539.

Almost surely, 2^429525625 is an apocalyptic number.

429525625 is the 20725-th square number.

429525625 is the 10363-rd centered octagonal number.

It is an amenable number.

429525625 is a deficient number, since it is larger than the sum of its proper divisors (107857826).

429525625 is an frugal number, since it uses more digits than its factorization.

429525625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 834 counting only the distinct ones).

The product of its digits is 216000, while the sum is 40.

The cubic root of 429525625 is about 754.5065705625.

The spelling of 429525625 in words is "four hundred twenty-nine million, five hundred twenty-five thousand, six hundred twenty-five".