379496 has 32 divisors (see below), whose sum is σ = 793800. Its totient is φ = 168960.

The previous prime is 379459. The next prime is 379499. The reversal of 379496 is 694973.

379496 = 79² + 80² + ... + 117².

379496 is nontrivially palindromic in base 3.

379496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 98596 + 280900 = 314^2 + 530^2 .

It is not an unprimeable number, because it can be changed into a prime (379499) by changing a digit.

379496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4220 + ... + 4308.

2³⁷⁹⁴⁹⁶ is an apocalyptic number.

379496 is the 356-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396900).

379496 is an abundant number, since it is smaller than the sum of its proper divisors (414304).

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

379496 is a wasteful number, since it uses less digits than its factorization.

379496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its digits is 40824, while the sum is 38.

The square root of 379496 is about 616.0324666769. The cubic root of 379496 is about 72.3995278909.

The spelling of 379496 in words is "three hundred seventy-nine thousand, four hundred ninety-six".