363420 has 48 divisors (see below), whose sum is σ = 1132320. Its totient is φ = 96768.

The previous prime is 363403. The next prime is 363431. The reversal of 363420 is 24363.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 363393 and 363402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204 + ... + 876.

It is an arithmetic number, because the mean of its divisors is an integer number (23590).

2³⁶³⁴²⁰ is an apocalyptic number.

363420 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 363420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566160).

363420 is an abundant number, since it is smaller than the sum of its proper divisors (768900).

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

363420 is a wasteful number, since it uses less digits than its factorization.

363420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 363420 is about 602.8432632119. The cubic root of 363420 is about 71.3624263856.

Adding to 363420 its reverse (24363), we get a palindrome (387783).

The spelling of 363420 in words is "three hundred sixty-three thousand, four hundred twenty".