428448601 has 9 divisors (see below), whose sum is σ = 498567999. Its totient is φ = 367117464.

The previous prime is 428448599. The next prime is 428448611. The reversal of 428448601 is 106844824.

The square root of 428448601 is 20699.

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., 79655625 + 348792976 = 8925^2 + 18676^2 .

It is not a de Polignac number, because 428448601 - 2¹ = 428448599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428448611) 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, 143415 + ... + 146371.

Almost surely, 2^428448601 is an apocalyptic number.

428448601 is the 20699-th square number.

428448601 is the 10350-th centered octagonal number.

It is an amenable number.

428448601 is a deficient number, since it is larger than the sum of its proper divisors (70119398).

428448601 is an frugal number, since it uses more digits than its factorization.

428448601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The cubic root of 428448601 is about 753.8754077214.

The spelling of 428448601 in words is "four hundred twenty-eight million, four hundred forty-eight thousand, six hundred one".