478010452689 has 243 divisors, whose sum is σ = 917466243057. Its totient is φ = 238941964800.

The previous prime is 478010452573. The next prime is 478010452697. The reversal of 478010452689 is 986254010874.

It is a happy number.

The square root of 478010452689 is 691383.

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

478010452689 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 104 + 526 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108356180625 + 369654272064 = 329175^2 + 607992^2 .

It is not a de Polignac number, because 478010452689 - 2⁷ = 478010452561 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (478010452789) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6548088357 + ... + 6548088429.

Almost surely, 2^478010452689 is an apocalyptic number.

478010452689 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

478010452689 is the 691383-rd square number.

478010452689 is the 345692-nd centered octagonal number.

It is an amenable number.

478010452689 is a deficient number, since it is larger than the sum of its proper divisors (439455790368).

478010452689 is a wasteful number, since it uses less digits than its factorization.

478010452689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 478010452689 in words is "four hundred seventy-eight billion, ten million, four hundred fifty-two thousand, six hundred eighty-nine".