363492 has 36 divisors (see below), whose sum is σ = 960960. Its totient is φ = 115632.

The previous prime is 363491. The next prime is 363497. The reversal of 363492 is 294363.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363492.

It is not an unprimeable number, because it can be changed into a prime (363491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609 + ... + 1047.

2³⁶³⁴⁹² 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 363492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480480).

363492 is an abundant number, since it is smaller than the sum of its proper divisors (597468).

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

363492 is a wasteful number, since it uses less digits than its factorization.

363492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 467 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 363492 is about 602.9029772691. The cubic root of 363492 is about 71.3671387986.

The spelling of 363492 in words is "three hundred sixty-three thousand, four hundred ninety-two".