427453132401 has 9 divisors (see below), whose sum is σ = 617435135499. Its totient is φ = 284967447336.

The previous prime is 427453132387. The next prime is 427453132417. The reversal of 427453132401 is 104231354724.

The square root of 427453132401 is 653799.

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

427453132401 is a `hidden beast` number, since 4 + 2 + 74 + 53 + 132 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 392959728225 + 34493404176 = 626865^2 + 185724^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 427453132401 - 2¹³ = 427453124209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (427453132471) 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, 1852431 + ... + 2070363.

Almost surely, 2^427453132401 is an apocalyptic number.

427453132401 is the 653799-th square number.

427453132401 is the 326900-th centered octagonal number.

It is an amenable number.

427453132401 is a deficient number, since it is larger than the sum of its proper divisors (189982003098).

427453132401 is an frugal number, since it uses more digits than its factorization.

427453132401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435872 (or 217936 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 427453132401 by its sum of digits (36), we get a square (15388312766436 = 3922794²).

The spelling of 427453132401 in words is "four hundred twenty-seven billion, four hundred fifty-three million, one hundred thirty-two thousand, four hundred one".