379516257 has 24 divisors (see below), whose sum is σ = 554013096. Its totient is φ = 250338816.

The previous prime is 379516231. The next prime is 379516297. The reversal of 379516257 is 752615973.

It can be written as a sum of positive squares in 4 ways, for example, as 9492561 + 370023696 = 3081^2 + 19236^2 .

It is not a de Polignac number, because 379516257 - 2¹⁰ = 379515233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (379516297) 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 in 23 ways as a sum of consecutive naturals, for example, 475783 + ... + 476579.

It is an arithmetic number, because the mean of its divisors is an integer number (23083879).

Almost surely, 2^379516257 is an apocalyptic number.

It is an amenable number.

379516257 is a deficient number, since it is larger than the sum of its proper divisors (174496839).

379516257 is a wasteful number, since it uses less digits than its factorization.

379516257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1294 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 379516257 is about 19481.1769921635. The cubic root of 379516257 is about 724.0081606530.

It can be divided in two parts, 379 and 516257, that added together give a triangular number (516636 = T₁₀₁₆).

The spelling of 379516257 in words is "three hundred seventy-nine million, five hundred sixteen thousand, two hundred fifty-seven".