478690641 has 135 divisors (see below), whose sum is σ = 904120833. Its totient is φ = 252046080.

The previous prime is 478690627. The next prime is 478690649. The reversal of 478690641 is 146096874.

The square root of 478690641 is 21879.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4322241 + 474368400 = 2079^2 + 21780^2 .

It is not a de Polignac number, because 478690641 - 2²⁷ = 344472913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (478690649) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 28158265 + ... + 28158281.

Almost surely, 2^478690641 is an apocalyptic number.

478690641 is the 21879-th square number.

478690641 is the 10940-th centered octagonal number.

It is an amenable number.

478690641 is a deficient number, since it is larger than the sum of its proper divisors (425430192).

478690641 is a wasteful number, since it uses less digits than its factorization.

478690641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The cubic root of 478690641 is about 782.2609400142.

The spelling of 478690641 in words is "four hundred seventy-eight million, six hundred ninety thousand, six hundred forty-one".