380292 has 48 divisors (see below), whose sum is σ = 1005312. Its totient is φ = 110880.

The previous prime is 380291. The next prime is 380299. The reversal of 380292 is 292083.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 380292.

It is not an unprimeable number, because it can be changed into a prime (380291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5643 + ... + 5709.

It is an arithmetic number, because the mean of its divisors is an integer number (20944).

2³⁸⁰²⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502656).

380292 is an abundant number, since it is smaller than the sum of its proper divisors (625020).

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

380292 is a wasteful number, since it uses less digits than its factorization.

380292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 380292 is about 616.6781980904. The cubic root of 380292 is about 72.4501123307.

Subtracting from 380292 its reverse (292083), we obtain a square (88209 = 297²).

The spelling of 380292 in words is "three hundred eighty thousand, two hundred ninety-two".