380493 has 12 divisors (see below), whose sum is σ = 558688. Its totient is φ = 249480.

The previous prime is 380483. The next prime is 380503. The reversal of 380493 is 394083.

It is an interprime number because it is at equal distance from previous prime (380483) and next prime (380503).

It is not a de Polignac number, because 380493 - 2⁵ = 380461 is a prime.

It is a d-powerful number, because it can be written as 3⁵ + 8 + 4⁹ + 0 + 9⁵ + 3¹⁰ .

It is a Duffinian number.

380493 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 380493.

It is not an unprimeable number, because it can be changed into a prime (380423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288 + ... + 918.

2³⁸⁰⁴⁹³ is an apocalyptic number.

It is an amenable number.

380493 is a deficient number, since it is larger than the sum of its proper divisors (178195).

380493 is a wasteful number, since it uses less digits than its factorization.

380493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 380493 is about 616.8411464875. The cubic root of 380493 is about 72.4628743729.

The spelling of 380493 in words is "three hundred eighty thousand, four hundred ninety-three".