380904980625 has 225 divisors, whose sum is σ = 773598321639. Its totient is φ = 186633720000.

The previous prime is 380904980597. The next prime is 380904980633. The reversal of 380904980625 is 526089409083.

The square root of 380904980625 is 617175.

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

380904980625 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 0 + 4 + 9 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 376231344129 + 4673636496 = 613377^2 + 68364^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 380904980625 - 2⁷ = 380904980497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1805236770 + ... + 1805236980.

Almost surely, 2^380904980625 is an apocalyptic number.

380904980625 is the 617175-th square number.

380904980625 is the 308588-th centered octagonal number.

It is an amenable number.

380904980625 is an abundant number, since it is smaller than the sum of its proper divisors (392693341014).

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

380904980625 is an frugal number, since it uses more digits than its factorization.

380904980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 380904980625 in words is "three hundred eighty billion, nine hundred four million, nine hundred eighty thousand, six hundred twenty-five".