405020 has 48 divisors (see below), whose sum is σ = 1064448. Its totient is φ = 125760.

The previous prime is 405011. The next prime is 405029. The reversal of 405020 is 20504.

405020 = T₄₀₀ + T₄₀₁ + ... + T₄₀₄.

It is an interprime number because it is at equal distance from previous prime (405011) and next prime (405029).

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a junction number, because it is equal to n+sod(n) for n = 404992 and 405010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405029) 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, 1409 + ... + 1671.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2⁴⁰⁵⁰²⁰ 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 405020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224).

405020 is an abundant number, since it is smaller than the sum of its proper divisors (659428).

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

405020 is a wasteful number, since it uses less digits than its factorization.

405020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 405020 is about 636.4118163579. The cubic root of 405020 is about 73.9875800924.

Adding to 405020 its reverse (20504), we get a palindrome (425524).

The spelling of 405020 in words is "four hundred five thousand, twenty".