384617030625 has 45 divisors (see below), whose sum is σ = 694309158543. Its totient is φ = 205104276000.

The previous prime is 384617030617. The next prime is 384617030653. The reversal of 384617030625 is 526030716483.

The square root of 384617030625 is 620175.

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

384617030625 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 17 + 0 + 3 + 0 + 625 = 666.

384617030625 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 112245770961 + 272371259664 = 335031^2 + 521892^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 384617030625 - 2³ = 384617030617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 46508991 + ... + 46517259.

Almost surely, 2^384617030625 is an apocalyptic number.

384617030625 is the 620175-th square number.

384617030625 is the 310088-th centered octagonal number.

It is an amenable number.

384617030625 is a deficient number, since it is larger than the sum of its proper divisors (309692127918).

384617030625 is an frugal number, since it uses more digits than its factorization.

384617030625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16564 (or 8277 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 384617030625 in words is "three hundred eighty-four billion, six hundred seventeen million, thirty thousand, six hundred twenty-five".