363408 has 40 divisors (see below), whose sum is σ = 961248. Its totient is φ = 118272.

The previous prime is 363403. The next prime is 363431. The reversal of 363408 is 804363.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (363401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3160 + ... + 3272.

2³⁶³⁴⁰⁸ 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 363408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480624).

363408 is an abundant number, since it is smaller than the sum of its proper divisors (597840).

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

363408 is a wasteful number, since it uses less digits than its factorization.

363408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 363408 is about 602.8333102940. The cubic root of 363408 is about 71.3616409229.

The spelling of 363408 in words is "three hundred sixty-three thousand, four hundred eight".