379505973 has 48 divisors (see below), whose sum is σ = 639370368. Its totient is φ = 195993600.

The previous prime is 379505941. The next prime is 379505993.

379505973 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 379505973 - 2⁵ = 379505941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379505923) 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 47 ways as a sum of consecutive naturals, for example, 591733 + ... + 592373.

It is an arithmetic number, because the mean of its divisors is an integer number (13320216).

Almost surely, 2^379505973 is an apocalyptic number.

379505973 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

379505973 is a deficient number, since it is larger than the sum of its proper divisors (259864395).

379505973 is a wasteful number, since it uses less digits than its factorization.

379505973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 893025, while the sum is 48.

The square root of 379505973 is about 19480.9130432842. The cubic root of 379505973 is about 724.0016209532.

The spelling of 379505973 in words is "three hundred seventy-nine million, five hundred five thousand, nine hundred seventy-three".