485528846401 has 9 divisors (see below), whose sum is σ = 490454749603. Its totient is φ = 480651950200.

The previous prime is 485528846353. The next prime is 485528846431. The reversal of 485528846401 is 104648825584.

It is a happy number.

The square root of 485528846401 is 696799.

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., 466490366001 + 19038480400 = 683001^2 + 137980^2 .

It is not a de Polignac number, because 485528846401 - 2⁹ = 485528845889 is a prime.

It is a super-3 number, since 3×485528846401³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (485528846431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70373250 + ... + 70380148.

Almost surely, 2^485528846401 is an apocalyptic number.

485528846401 is the 696799-th square number.

485528846401 is the 348400-th centered octagonal number.

It is an amenable number.

485528846401 is a deficient number, since it is larger than the sum of its proper divisors (4925903202).

485528846401 is an frugal number, since it uses more digits than its factorization.

485528846401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14000 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 55.

The spelling of 485528846401 in words is "four hundred eighty-five billion, five hundred twenty-eight million, eight hundred forty-six thousand, four hundred one".