380824641 has 24 divisors (see below), whose sum is σ = 568503936. Its totient is φ = 245498400.

The previous prime is 380824621. The next prime is 380824649. The reversal of 380824641 is 146428083.

380824641 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 2 + 4 + 641 = 666.

It is not a de Polignac number, because 380824641 - 2⁷ = 380824513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 380824596 and 380824605.

It is not an unprimeable number, because it can be changed into a prime (380824649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34216 + ... + 43958.

It is an arithmetic number, because the mean of its divisors is an integer number (23687664).

Almost surely, 2^380824641 is an apocalyptic number.

It is an amenable number.

380824641 is a deficient number, since it is larger than the sum of its proper divisors (187679295).

380824641 is a wasteful number, since it uses less digits than its factorization.

380824641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9893 (or 9890 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 380824641 is about 19514.7288220974. The cubic root of 380824641 is about 724.8392134921.

The spelling of 380824641 in words is "three hundred eighty million, eight hundred twenty-four thousand, six hundred forty-one".