363480 has 64 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 89088.

The previous prime is 363463. The next prime is 363481. The reversal of 363480 is 84363.

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

It is a self number, because there is not a number n which added to its sum of digits gives 363480.

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 363480.

It is not an unprimeable number, because it can be changed into a prime (363481) 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, 1444 + ... + 1676.

2³⁶³⁴⁸⁰ is an apocalyptic number.

363480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

363480 is an abundant number, since it is smaller than the sum of its proper divisors (815880).

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

363480 is a wasteful number, since it uses less digits than its factorization.

363480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

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

The square root of 363480 is about 602.8930253370. The cubic root of 363480 is about 71.3663534397.

The spelling of 363480 in words is "three hundred sixty-three thousand, four hundred eighty".