478893064441 has 27 divisors (see below), whose sum is σ = 536958172303. Its totient is φ = 426783191120.

The previous prime is 478893064427. The next prime is 478893064483. The reversal of 478893064441 is 144460398874.

It is a happy number.

The square root of 478893064441 is 692021.

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., 345232629225 + 133660435216 = 587565^2 + 365596^2 .

It is not a de Polignac number, because 478893064441 - 2⁷ = 478893064313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (478893064411) 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, 403447650 + ... + 403448836.

Almost surely, 2^478893064441 is an apocalyptic number.

478893064441 is the 692021-st square number.

478893064441 is the 346011-st centered octagonal number.

It is an amenable number.

478893064441 is a deficient number, since it is larger than the sum of its proper divisors (58065107862).

478893064441 is an frugal number, since it uses more digits than its factorization.

478893064441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 58.

The spelling of 478893064441 in words is "four hundred seventy-eight billion, eight hundred ninety-three million, sixty-four thousand, four hundred forty-one".