405360 has 60 divisors (see below), whose sum is σ = 1363752. Its totient is φ = 107904.

The previous prime is 405347. The next prime is 405373. The reversal of 405360 is 63504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (405347) and next prime (405373).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439 + ... + 1001.

2⁴⁰⁵³⁶⁰ is an apocalyptic number.

405360 is a gapful number since it is divisible by the number (40) 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 405360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681876).

405360 is an abundant number, since it is smaller than the sum of its proper divisors (958392).

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

405360 is a wasteful number, since it uses less digits than its factorization.

405360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 405360 is about 636.6788829544. The cubic root of 405360 is about 74.0082776229.

Adding to 405360 its reverse (63504), we get a palindrome (468864).

The spelling of 405360 in words is "four hundred five thousand, three hundred sixty".