427386447504 has 135 divisors (see below), whose sum is σ = 1207234416297. Its totient is φ = 141146808192.

The previous prime is 427386447493. The next prime is 427386447559. The reversal of 427386447504 is 405744683724.

The square root of 427386447504 is 653748.

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

427386447504 is a `hidden beast` number, since 4 + 2 + 7 + 38 + 64 + 47 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125273523600 + 302112923904 = 353940^2 + 549648^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1231661059 + ... + 1231661405.

Almost surely, 2^427386447504 is an apocalyptic number.

427386447504 is the 653748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427386447504

427386447504 is an abundant number, since it is smaller than the sum of its proper divisors (779847968793).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427386447504 is an equidigital number, since it uses as much as digits as its factorization.

427386447504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 427386447504 in words is "four hundred twenty-seven billion, three hundred eighty-six million, four hundred forty-seven thousand, five hundred four".