379456 has 63 divisors (see below), whose sum is σ = 962787. Its totient is φ = 147840.

The previous prime is 379451. The next prime is 379459. The reversal of 379456 is 654973.

The square root of 379456 is 616.

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

It is an Ulam number.

Its product of digits (22680) is a multiple of the sum of its prime divisors (20).

It is not an unprimeable number, because it can be changed into a prime (379451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34491 + ... + 34501.

379456 is a Friedman number, since it can be written as (7*(94-6))^(5-3), using all its digits and the basic arithmetic operations.

2³⁷⁹⁴⁵⁶ is an apocalyptic number.

379456 is the 616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379456

379456 is an abundant number, since it is smaller than the sum of its proper divisors (583331).

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

379456 is a wasteful number, since it uses less digits than its factorization.

379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 20 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The cubic root of 379456 is about 72.3969840934.

The spelling of 379456 in words is "three hundred seventy-nine thousand, four hundred fifty-six".