478428129 has 27 divisors (see below), whose sum is σ = 724701523. Its totient is φ = 304122192.

The previous prime is 478428103. The next prime is 478428163. The reversal of 478428129 is 921824874.

The square root of 478428129 is 21873.

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

It can be written as a sum of positive squares in only one way, i.e., 26780625 + 451647504 = 5175^2 + 21252^2 .

It is not a de Polignac number, because 478428129 - 2⁷ = 478428001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (478428529) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1509079 + ... + 1509395.

Almost surely, 2^478428129 is an apocalyptic number.

478428129 is the 21873-rd square number.

478428129 is the 10937-th centered octagonal number.

It is an amenable number.

478428129 is a deficient number, since it is larger than the sum of its proper divisors (246273394).

478428129 is an equidigital number, since it uses as much as digits as its factorization.

478428129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 343 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The cubic root of 478428129 is about 782.1179176278.

The spelling of 478428129 in words is "four hundred seventy-eight million, four hundred twenty-eight thousand, one hundred twenty-nine".