405330 has 32 divisors (see below), whose sum is σ = 993600. Its totient is φ = 105792.

The previous prime is 405323. The next prime is 405341. The reversal of 405330 is 33504.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1656 + ... + 1884.

It is an arithmetic number, because the mean of its divisors is an integer number (31050).

2⁴⁰⁵³³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496800).

405330 is an abundant number, since it is smaller than the sum of its proper divisors (588270).

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

405330 is a wasteful number, since it uses less digits than its factorization.

405330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 405330 is about 636.6553227611. The cubic root of 405330 is about 74.0064518358.

Adding to 405330 its reverse (33504), we get a palindrome (438834).

The spelling of 405330 in words is "four hundred five thousand, three hundred thirty".