379584001 has 2 divisors, whose sum is σ = 379584002. Its totient is φ = 379584000.

The previous prime is 379583947. The next prime is 379584031. The reversal of 379584001 is 100485973.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 356303376 + 23280625 = 18876^2 + 4825^2 .

It is a cyclic number.

It is not a de Polignac number, because 379584001 - 2²⁵ = 346029569 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (379584031) by changing a digit.

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 as a sum of consecutive naturals, namely, 189792000 + 189792001.

It is an arithmetic number, because the mean of its divisors is an integer number (189792001).

Almost surely, 2^379584001 is an apocalyptic number.

It is an amenable number.

379584001 is a deficient number, since it is larger than the sum of its proper divisors (1).

379584001 is an equidigital number, since it uses as much as digits as its factorization.

379584001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 379584001 is about 19482.9156185618. The cubic root of 379584001 is about 724.0512367970.

The spelling of 379584001 in words is "three hundred seventy-nine million, five hundred eighty-four thousand, one".