479829025 has 27 divisors (see below), whose sum is σ = 646194411. Its totient is φ = 353283840.

The previous prime is 479828977. The next prime is 479829037. The reversal of 479829025 is 520928974.

The square root of 479829025 is 21905.

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

It can be written as a sum of positive squares in 13 ways, for example, as 479741409 + 87616 = 21903^2 + 296^2 .

It is not a de Polignac number, because 479829025 - 2⁹ = 479828513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1423657 + ... + 1423993.

Almost surely, 2^479829025 is an apocalyptic number.

479829025 is the 21905-th square number.

479829025 is the 10953-rd centered octagonal number.

It is an amenable number.

479829025 is a deficient number, since it is larger than the sum of its proper divisors (166365386).

479829025 is an equidigital number, since it uses as much as digits as its factorization.

479829025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The cubic root of 479829025 is about 782.8805526805.

The spelling of 479829025 in words is "four hundred seventy-nine million, eight hundred twenty-nine thousand, twenty-five".