405060 has 48 divisors (see below), whose sum is σ = 1167936. Its totient is φ = 104832.

The previous prime is 405049. The next prime is 405071. The reversal of 405060 is 60504.

It is an interprime number because it is at equal distance from previous prime (405049) and next prime (405071).

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

It is an unprimeable number.

405060 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2502 + ... + 2658.

It is an arithmetic number, because the mean of its divisors is an integer number (24332).

2⁴⁰⁵⁰⁶⁰ 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 405060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583968).

405060 is an abundant number, since it is smaller than the sum of its proper divisors (762876).

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

405060 is a wasteful number, since it uses less digits than its factorization.

405060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 405060 is about 636.4432417742. The cubic root of 405060 is about 73.9900156970.

Adding to 405060 its reverse (60504), we get a palindrome (465564).

The spelling of 405060 in words is "four hundred five thousand, sixty".